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In: Statistics and Probability

Conduct a test at the a=0.01 level of significance by determining ​(a) the null and alternative​...

Conduct a test at the a=0.01 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=116, n1= 252​,x2=142​, and n2=303.

a. Choose the correct null and alternative hypotheses below.

A. H0: p1= p 2 versus H1: p1 > p 2

B. H0 : p1=p2 versus H1: p1≠p2

C. H0: p1=p 2 versus H1: p1 < p 2

D. H0: p1=0 versus H1: p1 ≠ 0

b. the test​ statistic

c. The​ P-value

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