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Консультация № 176306
26.01.2010, 01:13
42.08 руб.
0
1
1
Справедливо ли при а = 0.05 утверждение продюсера, что его
передачу смотрят 30% телезрителей, если из 400 опрошенных данную
передачу смотрело 100 человек. В ответе указать разность между модулем
расчетного и табличным значениям статистики критерия
передачу смотрят 30% телезрителей, если из 400 опрошенных данную
передачу смотрело 100 человек. В ответе указать разность между модулем
расчетного и табличным значениям статистики критерия
Обсуждение
26.01.2010, 18:23
общий
это ответ
Здравствуйте, Храмцов Михаил Юрьевич.
Здесь имеет место сравнение наблюдаемой относительной частоты с гипотетической вероятностью появления события. Если по набранной статистике относительная частота составляет m/n = 0,25, а гипотетическая вероятность p0 = 0,3 (а q0 = 1-p0 = 0,7), то наблюдаемое (рассчётное) значение критерия
Uнабл = abs( (m/n) - p0)*sqrt(n) / sqrt(p0*q0) = 2,18.
Если верить продюсеру, то передачу смотрят по крайней мере 0,3 телеаудитории. Значит нулевая гипотеза заключается в том, что p > p0, надо определить критическую точку правосторонней критической области, .т.е. по функции Лапласа из равенства
Ф(Uкр) = (1 - 2a)/2 = 0,45
По таблице
Uкр =1,645
Uнабл > Uкр, значит гипотеза отвергается: продюсер заблуждается на счёт своей передачи.
Разница расчетного и табличным значениям статистики критерия составила 0.537
Здесь имеет место сравнение наблюдаемой относительной частоты с гипотетической вероятностью появления события. Если по набранной статистике относительная частота составляет m/n = 0,25, а гипотетическая вероятность p0 = 0,3 (а q0 = 1-p0 = 0,7), то наблюдаемое (рассчётное) значение критерия
Uнабл = abs( (m/n) - p0)*sqrt(n) / sqrt(p0*q0) = 2,18.
Если верить продюсеру, то передачу смотрят по крайней мере 0,3 телеаудитории. Значит нулевая гипотеза заключается в том, что p > p0, надо определить критическую точку правосторонней критической области, .т.е. по функции Лапласа из равенства
Ф(Uкр) = (1 - 2a)/2 = 0,45
По таблице
Uкр =1,645
Uнабл > Uкр, значит гипотеза отвергается: продюсер заблуждается на счёт своей передачи.
Разница расчетного и табличным значениям статистики критерия составила 0.537
5
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