Question

1 point) Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 30 and 23 successes, respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)≠0Ha:(p1−p2)≠0. Use α=0.01α=0.01.

(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(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.

Answer 1

The statistical software output for this problem is:

From above output:

a) Test statistic = 1.1758

b) p - Value = 0.2397

c) Option B is correct.