(3 points) independent random samples, each containing 80 observations, were selected from two populations. the samples from populations 1 and 2 produced 57 and 46 successes, respectively. test h0: p1=p2h0: p1=p2 against ha: p1≠p2ha: p1≠p2. use α=0.02α=0.02.
(a) the test statistic is
(b) the p-value is
(c) the final conclusion is
a. we can reject the null hypothesis that (p1−p2)=0 and conclude that (p1−p2)≠0.
b. there is not sufficient evidence to reject the null hypothesis that (p1−p2)=0.