Independent random samples, each containing 900900 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 697697 and 373373 successes, respectively. (a)    Test ?0:(?1−?2)=0H0:(p1−p2)=0 against ??:(?1−?2)≠0Ha:(p1−p2)≠0. Use ?=0.07α=0.07 test statistic == rejection region |?|>|z|> The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=0(p1−p2)=0. B. We can reject the null hypothesis that (?1−?2)=0(p1−p2)=0 and accept that (?1−?2)≠0(p1−p2)≠0.

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Independent random samples, each containing 900900 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 697697 and 373373 successes, respectively.
(a)    Test ?0:(?1−?2)=0H0:(p1−p2)=0 against ??:(?1−?2)≠0Ha:(p1−p2)≠0. Use ?=0.07α=0.07

test statistic ==

rejection region |?|>|z|>

The final conclustion is


A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=0(p1−p2)=0.
B. We can reject the null hypothesis that (?1−?2)=0(p1−p2)=0 and accept that (?1−?2)≠0(p1−p2)≠0.

(b)    Test ?0:(?1−?2)=0H0:(p1−p2)=0 against ??:(?1−?2)>0Ha:(p1−p2)>0. Use ?=0.02α=0.02

test statistic ==

rejection region ?>z>

The final conclustion is

 

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