1. Conduct a test at the α = 0.10 level of significance by determining (a) the null and alternative hypotheses, (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 = 134, and n2 = 316.
(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. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1 < p2.
B. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p1 ≠ p2.
C. Reject the null hypothesis because there is sufficient evidence to conclude that p1 > p2.
D. Reject the null hypothesis because there is sufficient evidence to conclude that p1 < p2.