Independent random samples, each containing 50 observations, were selected from two populations. The samples from populations 1 and 2 produced 38 and 30 successes, respectively.
Test H0:(p₁ − p₂) = 0 against Ha:(p₁ − p₂) ≠ 0. Use α = 0.05.
(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.