Conduct a test at the a = 0.05 level of significant by determining (a) the null and alternative hypothesis, (b) the test statistic, and (c) the P-value.
Assume the samples were obtained independently from a large population using simple random sampling.
Test whether p1 > p2. The sample data are x1 = 129, n1 = 252, x2 = 144, and n2 = 314.
(a) Choose the correct null and alternative hypotheses below.
A. H0 : p1 = p2 versus H1 : p1 ≠p2
B. H0 : p1 = p2 versus H1 : p1 > p2
C. H0 : p1 = p2 versus H1 : P1 < p2
D. H0 : p1 = 0 versus H1 : p1 ≠0
(b) Determine the test statistic.
z0 = __ (Round to two decimal places as needed.)
(c) Determine the P-value.
The P-value is __ (Round to three decimal places as needed.)
What is the result of this hypothesis​ test?
A. Reject the null hypothesis because there is sufficient evidence to conclude that p1 < p2.
B. Reject the null hypothesis because there is sufficient evidence to conclude that p1 > p2.
C. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p1 ≠p2.
D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1 < p2.
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