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Test 4 Question 1
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.
- H0: p1=p2 versus H1: p1>p2
- H0: p1=p2 versus H1: p1<p2
- H0: p1=p2 versus H1: p1≠p2
- 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?
- Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1>p2.
- Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2.
- Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1≠p2.
- Reject the null hypothesis because there is sufficient evidence to conclude that p1<p2.