Mathematics

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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