Independent random samples, each containing 900900 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 733733 and 611611 successes, respectively. (a) Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)≠0Ha:(p1−p2)≠0. Use α=0.05α=0.05 test statistic = rejection region |z|>| The final conclustion is A. We can reject the null hypothesis that (p1−p2)=0(p1−p2)=0 and accept that (p1−p2)≠0(p1−p2)≠0. B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0(p1−p2)=0. (b) Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.09α=0.09 test statistic = rejection region z> The final conclustion is: A. We can reject the null hypothesis that (p1−p2)=0(p1−p2)=0 and accept that (p1−p2)>0(p1−p2)>0. B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0(p1−p2)=0.
Independent random samples, each containing 900900 observations, were selected from two binomial populations. The samples from populations 1 and 2 produced 733733 and 611611 successes, respectively.
(a) Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)≠0Ha:(p1−p2)≠0. Use α=0.05α=0.05
test statistic =
rejection region |z|>|
The final conclustion is
A. We can reject the null hypothesis that (p1−p2)=0(p1−p2)=0 and accept that (p1−p2)≠0(p1−p2)≠0.
B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0(p1−p2)=0.
(b) Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.09α=0.09
test statistic =
rejection region z>
The final conclustion is:
A. We can reject the null hypothesis that (p1−p2)=0(p1−p2)=0 and accept that (p1−p2)>0(p1−p2)>0.
B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0(p1−p2)=0.
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