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,
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.
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.
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