Test 4

1.  Conduct a test at the á=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=121​, n1=253​, x2=138​, and n2=311.

​(a) Choose the correct null and alternative hypotheses below.

1. H0: p1=p2 versus H1: p1>p2
2. H0: p1=p2 versus H1: p1<p2
3. H0: p1=p2 versus H1: p1≠p2
4. H0: p1=0 versus H1: p1≠0

​

(b) Determine the test statistic.

​(c) Determine the​ P-value.

The​ P-value is

​(Round to three decimal places as​ needed.)

What is the result of this hypothesis​ test?

1. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1>p2.
2. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2.
3. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1≠p2.
4. Reject the null hypothesis because there is sufficient evidence to conclude that p1<p2.