\317\2072-fordeling og \317\2072-testGenerelt om \317\2072-fordelingen\317\2072-fordelingen er en kontinuert fordeling, modsat binomialfordelingen som er en diskret fordeling.Fordelingen er s\303\246rdeles kompleks at beskrive med matematiske formler. \317\2072-test blev opfundet af Pearson omkring \303\245r 1900.
http://en.wikipedia.org/wiki/Chi-squared_distributionhttp://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test
Gr\303\246ske bogstaver: \317\207: chi [udtales "ki"] \316\275: ny (antal frihedsgrader i \317\2072-fordelingen) \316\274: my (middelv\303\246rdi i en fordeling) \317\203: sigma (spredning i en fordeling)Vi definerer en stokastisk variabel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=, som er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjU=-fordelt med \316\275 frihedsgrader:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==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Vi beregner middelv\303\246rdi og spredning (generelt):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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2J1EnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrYmFja2dyb3VuZEdRLlsyMDQsMjU1LDIwNF1GJy8lJ29wYXF1ZUdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Jy1JI21uR0YkNiZRIjJGJ0Y1RjhGOy9GM0Y6RjVGOC9GPFEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjVGOEY7-fordelingen har 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 og 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 af sandsynlighederne med integralregning:NB:
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 angiver "ProbabilityDensityFunction" (t\303\246thedsfunktionen for fordelingen)
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 angiver "CumulativeDistributionFunction" (kumulerede sandsynlighedsfordeling)Den samlede sandsynlighed i \317\2072-fordelingen skal v\303\246re 100%, dvs. 1: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Grafer over \317\2072-fordelingen (grafen afh\303\246nger af \316\275 = antal frihedsgrader)Hvordan ser grafen for \317\2072-fordelingen ud?Lad os variere antal frihedsgrader \316\275 fra 1 til 10.Vi vil gerne tegne graferne i samme koordinatsystem.F\303\270rst beregnes alle graferne, og gemmes i variablen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEsUGxvdFBERkNoaTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1GLzYlUScmIzk1NztGJy9GM1EmZmFsc2VGJy9GNlEnbm9ybWFsRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82I1EhRidGPw== hhv. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEsUGxvdENERkNoaTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JC1GLzYlUSUmbnU7RicvRjNRJmZhbHNlRicvRjZRJ25vcm1hbEYnRj8vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y/.Og graferne skal have forskellig farvetone.Derefter tegnes alle graferne i samme koordinatsystem med kommandoen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQ=T\303\246thedsfunktionen PDF for 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sandsynlighed CDF for 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for "Goodness of fit" (passer data med forventning?)Eksempel 129 side 188-189 i Grundbogen B2Givet en tabel med 3 h\303\246ndelser:
Vi skal unders\303\270ge om de observerede hyppigheder stemmer med de forventede!LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==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Antal frihedsgrader i en "Goodness of fit"-test = 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 skrives op igen, s\303\245 tallene ligger i nogle variable, s\303\245 vi kan regne videre p\303\245 dem:
Nulhypotesen HYP0 er, at testens resultat stemmer med de teoretisk givne sandsynligheder.Signifikansniveau = 5%.Antal udf\303\270relser af fors\303\270get: 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiUUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjEvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnRi9GNEY3L0Y6Rj5GPA== beregnes med formlen i faktaboks 11 side 186: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Vi \303\270nsker at beregne sandsynligheden: 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Dette tal kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=-v\303\246rdien.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Konklusion:Der er hele 83% sandsynlighed for at testen har en LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiUUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0Y0L0Y4RjxGOg==-v\303\246rdi st\303\270rre end 0.37
Nulhypotesen HYP0 kan alts\303\245 ikke forkastes p\303\245 f.eks. 5% signifikansniveau.EKSTRA:Man kan oprette en funktion LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, som beregner sandsynligheden: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 signifikansniveauet er 5%, kan vi beregne hvor stor Q skulle v\303\246re for at forkaste nulhypotesen:NB: S\303\245 skal den kumulerede sandsynlighed v\303\246re 0.95, dvs. 1-0.05.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Alts\303\245 er den kritiske v\303\246rdi 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Test af sandsynlighederne med integralregning.Sandsynligheden for den kritiske m\303\246ngde skal v\303\246re 5%, dvs. 0.05: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 \303\270nskes illustreret grafisk:Grafen over \317\2072-fordelingens frekvensfunktion: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Grafen over den kritiske m\303\246ngde: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Graferne tegnes i samme koordinatsystem:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQ=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRKHBsb3RQREZGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRMnBsb3RLUklUSVNLTXxhd05HREVGJ0YvRjJGQQ==Hvis Q lander i det r\303\270de omr\303\245de (den kritiske m\303\246ngde), s\303\245 forkastes nulhypotesen.Ovenfor fik vi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJnVtaW51czA7RidGNS8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRllGNQ==testst\303\270rrelsen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= til 0.37, s\303\245 den ligger absolut ikke i den r\303\270de kritiske m\303\246ngde.Opgave 5037 side 104Genetik: Mendels eksperiment med \303\246rteblomster side 150-152 i Arbejdsbogen B2JSFH
H\303\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 hyppighed (ved testen)54741850Forventede frekvens
(teoretisk v\303\246rdi givet ved
Mendels love for arvelighed)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1GLzYkUSI0RidGMi8lJ2l0YWxpY0dRJXRydWVGJy9GM1EnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkQvJSliZXZlbGxlZEdRJmZhbHNlRidGMg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1GLzYkUSI0RidGMi8lJ2l0YWxpY0dRJXRydWVGJy9GM1EnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR0YxLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkMvJSliZXZlbGxlZEdRJmZhbHNlRidGMg==
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Nulhypotesen HYP0 er, at observationerne stemmer med Mendels love.Signifikansniveau = 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiUUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjEvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnRi9GNEY3L0Y6Rj5GPA== beregnes med formlen i faktaboks 11 side 186: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Vi \303\270nsker at beregne sandsynligheden: 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Dette tal kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=-v\303\246rdien.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Nulhypotesen HYP0 kan alts\303\245 ikke forkastes, da der er hele 61% sandsynlighed for at testen har en LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiUUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0Y0L0Y4RjxGOg==-v\303\246rdi st\303\270rre end 0.26.Dvs. p\303\245 5% signifikansniveau m\303\245 man acceptere Mendels love for arvelighed.Hvis signifikansniveauet er 5%, kan vi beregne hvor stor Q skulle v\303\246re for at forkaste nulhypotesen:NB: S\303\245 skal den kumulerede sandsynlighed v\303\246re 0.95, dvs. 1-0.05.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Alts\303\245 er den kritiske v\303\246rdi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEicUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjEvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnLUkjbW9HRiQ2MVEpJmFwcHJveDtGJ0YvRjRGNy9GOkY+RjwvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkYvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVS1JI21uR0YkNihRJDMuOEYnRi9GNEY3RkNGPEYvRkNGPA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQ=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUkjbWlHRiQ2JVEocGxvdFBERkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRJXBsb3RGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2Mi1GLDYlUSRQREZGJ0YvRjItRlM2JC1GIzYlLUYsNiVRIlhGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUSJ4RidGL0YyRjlGW29GY28tRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tSSNtbkdGJDYkUSIwRidGOS1GNjYtUSMuLkYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZgby1Gam82JFEjMTBGJ0Y5RltvLUYsNiVRJXZpZXdGJ0YvRjJGZm8tRlM2Ji1GIzYpRmlvRl1wRmNwRltvRmlvRl1wLUZqbzYkUSIxRidGOUY5LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRltvLUYsNiVRJmNvbG9yRidGL0YyRmZvLUYsNiVRJWJsdWVGJ0YvRjJGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0Zgby8lJmRlcHRoR0Zkci8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIRl9vRmJwLUYsNiVRK3Bsb3RNfGF3TkdERUYnRi9GMkY1Rk8tRlM2JC1GIzYwRldGWkZbb0Zjb0Zmby1GLDYlUSJxRidGL0YyRl1wRmNwRltvRmZwRmZvRmlwRltvLUYsNiVRJ2ZpbGxlZEYnRi9GMkY5RlxyRl9yLUYsNiVRKGRpc3BsYXlGJ0YvRjItRlM2JC1GIzYlRitGW29GX3NGOS1GLDYjUSFGJ0Zfci1GYHI2JkZickZlckZnci9GanJRJWF1dG9GJ0ZjdA==Hvis Q lander i det r\303\270de omr\303\245de (den kritiske m\303\246ngde), s\303\245 forkastes nulhypotesen.Ovenfor fik vi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJnVtaW51czA7RidGNS8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRllGNQ==testst\303\270rrelsen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= til 0.26, s\303\245 den ligger absolut ikke i den r\303\270de kritiske m\303\246ngde.Opgave 5028 (valg) side 100 i Arbejdsbog B2
H\303\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 hyppighed (ved testen)250180450120Forventede frekvens
(stemmeprocent ved sidste valg)0.270.160.390.18
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H\303\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 hyppighed (ved testen)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Forventede frekvens
(stemmeprocent ved sidste valg)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZYLUY7NiRRJTAuMjdGJ0Y+LUZENi1RIjpGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZYLUY7NiRRJTAuMTZGJ0Y+LUZENi1RIjpGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZYLUY7NiRRJTAuMzlGJ0Y+LUZENi1RIjpGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZYLUY7NiRRJTAuMThGJ0Y+LUZENi1RIjpGJ0Y+RkdGSkZMRk5GUEZSRlRGVkZZ
a)Antal personer, som deltager er 1000:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjA0LDE1M11GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSomY29sb25lcTtGJ0YyRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtSSttdW5kZXJvdmVyR0YkNictRjs2L1EmJlN1bTtGJ0YyRjVGPi9GQVEmdW5zZXRGJy9GREZlbi9GRkYxL0ZIRmVuL0ZKRjEvRkxGMS9GTkZlbi9GUFEmMC4wZW1GJy9GU1EsMC4xNjY2NjY3ZW1GJy1GIzYlLUYsNidRImlGJ0YvRjJGNUY3LUY7Ni9RIj1GJ0YyRjVGPkZARkNGRUZHRklGS0ZNRk9GUi1JI21uR0YkNiZRIjFGJ0YyRjVGPi1GIzYlLUYsNidRJSZudTtGJy9GMEZCRjJGNUY+LUY7Ni9RIitGJ0YyRjVGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnL0ZTRmZwRmhvRk0vJSxhY2NlbnR1bmRlckdGQi1JJW1zdWJHRiQ2JS1GLDYnUSJoRidGL0YyRjVGNy1GIzYjRmJvLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjs2L1EifkYnRjJGNUY+RkBGQ0ZFRkdGSUZLRk1GXG8vRlNGXW8=Den samlede sandsynlighed er 1: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b)Forventede hyppigheder:
c)Nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEkSFlQRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjJGNy9GO0Y/Rj1GMkY1RjdGOkY9LyUvc3Vic2NyaXB0c2hpZnRHRkVGMkY3RkZGPQ==: Stemmefordelingen har ikke \303\246ndret sig siden sidste valg.Signifikansniveau = 5%.d)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2KFEnJiM5Njc7RicvJSVzaXplR1EjMThGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y9LUYjNigtSSNtbkdGJDYnUSIyRidGMkY1RjtGPkYyRjUvRjlGNy9GPFEsYm9sZC1pdGFsaWNGJ0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YyRjVGO0Y+-test: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testst\303\270rrelsen 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186: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Vi \303\270nsker at beregne sandsynligheden: 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Dette tal kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=-v\303\246rdien.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 er alts\303\245 n\303\246rmest 0!Hvis signifikansniveauet er 5%, kan vi beregne hvor stor Q skulle v\303\246re for at forkaste nulhypotesen:NB: S\303\245 skal den kumulerede sandsynlighed v\303\246re 0.95, dvs. 1-0.05.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\303\245 er den kritiske v\303\246rdi: 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Da Q-v\303\246rdien er 33.2, som er langt over den kritiske v\303\246rdi p\303\245 7.81, s\303\245 er det meget usandsynligt, at nulhypotesen holder.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEkSFlQRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtSSNtbkdGJDYkUSIwRicvRjZRJ25vcm1hbEYnRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R0Y9Rj4= m\303\245 derfor forkastes.Dvs. stemmefordelingen har med stor sandsynlighed \303\246ndret sig siden valget.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQ=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Der er s\303\245ledes kun 5% sandsynlighed for at lande i det r\303\270de omr\303\245de (den kritisks m\303\246ngde).LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjU=-testen gav Q-v\303\246rdien 33.2, s\303\245 det er utrolig usandsynligt, at ramme s\303\245 langt ude.Derfor m\303\245 nulhypotesen forkastes!Stemmefordelingen har alts\303\245\302\250\303\246ndret sig.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMCwyNTVdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiYtSSNtbkdGJDYlUSIyRidGNUY4L0YzUSV0cnVlRidGNS9GOVEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjUvJTBmb250X3N0eWxlX25hbWVHUSpIZWFkaW5nfjJGJ0Y4-test for "uafh\303\246ngighed" (er to parametre uafh\303\246ngige af hinanden?)Vi \303\270nsker at unders\303\270ge, om rygning er uafh\303\246ngig af k\303\270n.
Observerede hyppighederN(ikke rygere)L(0-10 cigaretter pr. dag)M(over 10 cigaretter pr. dag)Drenge908030Piger1257550
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==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 fra tabellen ovenfor indtastes, s\303\245 vi kan regne videre med dem i Maple, og der tilf\303\270jes vandrette og lodrette summer:
Observerede hyppighederN(ikke rygere)L(0-10 cigaretter pr. dag)M(over 10 cigaretter pr. dag)SumDrengeLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI0RORidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRIzkwRidGRA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI0RMRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRIzgwRidGRA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI0RNRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRIzMwRidGRA==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PigerLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI1BORidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRJDEyNUYnRkQ=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI1BMRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRIzc1RidGRA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYjLUYvNiVRI1BNRidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkgvJSlzdHJldGNoeUdGSC8lKnN5bW1ldHJpY0dGSC8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZILyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRIzUwRidGRA==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
Nulhypotese LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEkSFlQRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjJGNy9GO0Y/Rj1GMkY1RjdGOkY9LyUvc3Vic2NyaXB0c2hpZnRHRkVGMkY3RkZGPQ== : rygevaner er uafh\303\246ngig af k\303\270n.Signifikansniveau = 5%.Vi vil nu beregne de forventede antal personer i hver kategori:
Forventede
hyppighederN(ikke rygere)L(0-10 cigaretter pr. dag)M(over 10 cigaretter pr. dag)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Antal frihedsgrader i en uafh\303\246ngighedstest er: 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kan de 2 tabeller sammenlignes:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1cEdGJDYlLUkjbWlHRiQ2KVEnJiM5Njc7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tRiM2KS1JI21uR0YkNihRIjJGJ0YyRjhGO0Y9RkBGMi9GNkY0RjhGOy9GPlEsYm9sZC1pdGFsaWNGJ0ZALyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNjFRKiZ1bWludXMwO0YnRjJGOEY7Rj1GQC8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlxvRjJGOEY7Rj1GQA==testst\303\270rrelsen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiUUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjEvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnRi9GNEY3L0Y6Rj5GPA== beregnes med formlen i faktaboks 11 side 186: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 \303\270nsker at beregne sandsynligheden: 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Dette tal kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=-v\303\246rdien.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Da LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2ZvcmVncm91bmRHUSpbMjU1LDAsMF1GJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0Y0L0Y4RjxGOg==-v\303\246rdien er ca. 6.8%, som er (lidt) st\303\270rre end signifikansniveauet p\303\245 5%, kan nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEkSFlQRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjJGNy9GO0Y/Rj1GMkY1RjdGOkY9LyUvc3Vic2NyaXB0c2hpZnRHRkVGMkY3RkZGPQ== ikke forkastes.S\303\245 vi m\303\245 acceptere, at rygning er uafh\303\246ngig af k\303\270n.Men det var t\303\246t p\303\245, at vi kunne forkaste nulhypotesen!Hvis signifikansniveauet er 5%, kan vi beregne hvor stor Q skulle v\303\246re for at forkaste nulhypotesen:NB: S\303\245 skal den kumulerede sandsynlighed v\303\246re 0.95, dvs. 1-0.05.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\303\245 er den kritiske v\303\246rdi: 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Da Q-v\303\246rdien er 5.4, som er mindre end den kritiske v\303\246rdi, s\303\245 m\303\245 nulhypotesen accepteres.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQ=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Der er s\303\245ledes kun 5% sandsynlighed for at lande i det r\303\270de omr\303\245de (den kritisks m\303\246ngde).LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjU=-testen gav Q-v\303\246rdien 5.4, s\303\245 det er t\303\246t p\303\245 den kritiske m\303\246ngde, men dog til venstre for denne.Men trods alt udenfor dne kritiske m\303\246ngde, derfor kan nulhypotesen ikke forkastes.Simulering, hvor et fors\303\270g gentages mange gangeMed Maple kan man simpelt simulere, at et eksperiment udf\303\270res mange gange.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlISIiQyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJK1N0YXRpc3RpY3NHRiUhIiI=QyQ+SSJYRzYiLUkvUmFuZG9tVmFyaWFibGVHRiU2Iy1JKkNoaVNxdWFyZUdGJTYjSSNudUdGJSEiIg==PkkjbnVHNiIiIiU=K\303\270r nedenst\303\245ende med forskellige v\303\246rdier af AntalTests:AntalTests er det antal gange som testen udf\303\270res.PkkrQW50YWxUZXN0c0c2IiImKysiNu laves simuleringen:QyQ+SSJTRzYiLUknU2FtcGxlR0YlNiRJIlhHRiVJK0FudGFsVGVzdHNHRiUhIiI=Plot af simuleringen:QyU+SSJIRzYiLUkqSGlzdG9ncmFtR0YlNiVJIlNHRiUvSSZyYW5nZUclKnByb3RlY3RlZEc7IiIhIiM1L0kmY29sb3JHRiVJJWJsdWVHRiUhIiItSShkaXNwbGF5R0YlNiRGJC9JJXZpZXdHRiU3JEYtO0YuJCIiJUYzPlot af den forventede fordeling:QyU+SSJQRzYiLUksRGVuc2l0eVBsb3RHRiU2JUkiWEdGJS9JJmNvbG9yR0YlSSRyZWRHRiUvSSp0aGlja25lc3NHRiUiIiMhIiItSShkaXNwbGF5R0YlNiRGJC9JJXZpZXdHRiU3JDsiIiEiIzU7RjgkIiIlRjA=Plot i samme koordinatsystem:LUkoZGlzcGxheUc2IjYlSSJQR0YkSSJIR0YkL0kldmlld0dGJDckOyIiISIjNTtGLCQiIiUhIiI=