Hypotesetest i binomialfordelingenB2 Gyldendals Gymnasiematematik side 171-173, 1. udgaveFors\303\270g: Kast med en \303\246rlig m\303\270nt 50 gange.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QyQtSSV3aXRoRzYiNiNJJEd5bUdGJSEiIg==QyU+SSJuRzYiIiNdIiIiPkkicEdGJSNGJyIiIw==PkktTWlkZGVsdnxed3xhdXJkaUc2IiomSSJuR0YkIiIiSSJwR0YkRic=Nulhypotese LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjJGNy9GO0Y/Rj1GMkY1RjdGOkY9LyUvc3Vic2NyaXB0c2hpZnRHRkVGMkY3RkZGPQ==: M\303\270nten er \303\246rlig, dvs. sandsynligheden for krone er 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X = antal gange, man f\303\245r kronePindediagram over sandsynlighederneLUkwcGluZGVkaWFncmFtQklORzYiNiRJIm5HRiRJInBHRiQ=Binomialtest med 5% signifikansniveauBetyder, at der h\303\270jest er 5% sandsynlighed for at forkaste en sand nulhypotese, dvs. lave en fejl af 1. art.Udf\303\270rer en 2-sidet binomialtest.Beregning af acceptm\303\246ngde og kritisk m\303\246ngdePkkyU2lnbmlmaWthbnNuaXZlYXVHNiIkIiImISIjLCRJMlNpZ25pZmlrYW5zbml2ZWF1RzYiIyIiIiIiIw==Beregner nedre gr\303\246nse for acceptm\303\246ngden. Svarer til 2.5% fraktilen:LUknaW52YmluRzYiNiVJIm5HRiRJInBHRiQsJEkyU2lnbmlmaWthbnNuaXZlYXVHRiQjIiIiIiIjTjekker nabotal.Nedre gr\303\246nse findes det st\303\270rste sted, hvor den kumulerede sandsynlighed netop er blevet 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 :LUknYmluY2RmRzYiNiVJIm5HRiRJInBHRiQiIzw=LUknYmluY2RmRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigiIz0=LUknYmluY2RmRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigiIz4=Beregner \303\270vre gr\303\246nse for acceptm\303\246ngden. Svarer til 97.5% fraktilen:LCYiIiJGI0kyU2lnbmlmaWthbnNuaXZlYXVHNiIjISIiIiIjLUknaW52YmluRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigsJiIiIkYuSTJTaWduaWZpa2Fuc25pdmVhdUdGKCMhIiIiIiM=Tjekker nabotal.\303\230vre gr\303\246nse findes det mindste sted, hvor den kumulerede sandsynlighed netop er blevet 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 :LCYiIiJGIy1JJ2JpbmNkZkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJEd5bUdGKjYlSSJuR0YqSSJwR0YqIiNJISIiLCYiIiJGIy1JJ2JpbmNkZkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJEd5bUdGKjYlSSJuR0YqSSJwR0YqIiNKISIiLCYiIiJGIy1JJ2JpbmNkZkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJEd5bUdGKjYlSSJuR0YqSSJwR0YqIiNLISIiLCYiIiJGIy1JJ2JpbmNkZkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJJEd5bUdGKjYlSSJuR0YqSSJwR0YqIiNMISIiAcceptm\303\246ngden er: 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Her accepteres nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMTUzLDIwNF1GJy8lJ29wYXF1ZUdGNC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjVGOEY6L0Y+USdub3JtYWxGJ0YyRjVGOEY6Rj0vJS9zdWJzY3JpcHRzaGlmdEdGRUY1RjhGOkZG.Den kritiske m\303\246ngde er: 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Her forkastes nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMTUzLDIwNF1GJy8lJ29wYXF1ZUdGNC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjVGOEY6L0Y+USdub3JtYWxGJ0YyRjVGOEY6Rj0vJS9zdWJzY3JpcHRzaGlmdEdGRUY1RjhGOkZG.Binomialtest med Gym-pakkenLUktYmlub21pYWxUZXN0RzYiNiZJIm5HRiRJInBHRiRJMlNpZ25pZmlrYW5zbml2ZWF1R0YkSSh0b3NpZGV0R0YkAcceptm\303\246ngden er: 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Her accepteres nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMTUzLDIwNF1GJy8lJ29wYXF1ZUdGNC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjVGOEY6L0Y+USdub3JtYWxGJ0YyRjVGOEY6Rj0vJS9zdWJzY3JpcHRzaGlmdEdGRUY1RjhGOkZG.Vises som gr\303\270nt omr\303\245de p\303\245 pindediagrammet.Den kritiske m\303\246ngde er: 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Her forkastes nulhypotesen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiSEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMTUzLDIwNF1GJy8lJ29wYXF1ZUdGNC8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2J1EiMEYnRjVGOEY6L0Y+USdub3JtYWxGJ0YyRjVGOEY6Rj0vJS9zdWJzY3JpcHRzaGlmdEdGRUY1RjhGOkZG.Vises som r\303\270dt omr\303\245de p\303\245 pindediagrammet.Binomialtest med 10% signifikansniveauBetyder, at der h\303\270jest er 10% sandsynlighed for at forkaste en sand nulhypotese, dvs. lave en fejl af 1. art.Udf\303\270rer en 2-sidet binomialtest.Beregning af acceptm\303\246ngde og kritisk m\303\246ngdePkkyU2lnbmlmaWthbnNuaXZlYXVHNiIkIiM1ISIjGr\303\246nserne for acceptm\303\246ngden beregnes:LUknaW52YmluRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigsJEkyU2lnbmlmaWthbnNuaXZlYXVHRigjIiIiIiIjLUknaW52YmluRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigsJiIiIkYuSTJTaWduaWZpa2Fuc25pdmVhdUdGKCMhIiIiIiM=Acceptm\303\246ngden er: 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Den kritiske m\303\246ngde er: 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Binomialtest med Gym-pakkenLUktYmlub21pYWxUZXN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiZJIm5HRihJInBHRigkIiM1ISIjSSh0b3NpZGV0R0YoAcceptm\303\246ngden er: 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Den kritiske m\303\246ngde er: 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Binomialtest med 1% signifikansniveauBetyder, at der h\303\270jest er 1% sandsynlighed for at forkaste en sand nulhypotesen, dvs. lave en fejl af 1. art.Udf\303\270rer en 2-sidet binomialtest.Beregning af acceptm\303\246ngde og kritisk m\303\246ngdePkkyU2lnbmlmaWthbnNuaXZlYXVHNiIkIiIiISIjGr\303\246nserne for acceptm\303\246ngden beregnes:LUknaW52YmluRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigsJEkyU2lnbmlmaWthbnNuaXZlYXVHRigjIiIiIiIjLUknaW52YmluRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiVJIm5HRihJInBHRigsJiIiIkYuSTJTaWduaWZpa2Fuc25pdmVhdUdGKCMhIiIiIiM=Acceptm\303\246ngden er: 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Den kritiske m\303\246ngde er: 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Binomialtest med Gym-pakkenLUktYmlub21pYWxUZXN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkkkR3ltR0YoNiZJIm5HRihJInBHRigkIiIiISIjSSh0b3NpZGV0R0YoAcceptm\303\246ngden er: 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Den kritiske m\303\246ngde er: 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