A sample of adults was asked whether they were interested in economic issues. The following MINITAB output presents the results of a hypothesis test regarding the proportion who said they were interested in economic issues.

a. What are the null and alternate hypotheses?

b. What is the value of the sample proportion ̂p?

c. Can H0 be rejected at the 0.05 level? State a conclusion.

d. Someone wants to use these data to test H0: p = 0.6 versus H1: p ≠ 0.6. Find the test statistic z and use the method of this section to find the P-value. Do you reject H0 at the α = 0.05 level? State a conclusion.

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Test of p = 0.7 vs p not equal 0.7 X N Sample p 95% CI 27 52 0.519231 (0.383432, 0.655029) Z-Value P-Value -2.84 0.004