Using Confidence Intervals a. Assume that we want to use a 0.05 significance level to test the

Question:

Using Confidence Intervals

a. Assume that we want to use a 0.05 significance level to test the claim that p1 6 p2. Which is better: a hypothesis test or a confidence interval?

b. In general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; P-value method; critical value method?

c. If we want to use a 0.05 significance level to test the claim that p1 6 p2, what confidence level should we use for the confidence interval?

d. If we test the claim in part

(c) using the sample data in Exercise 1, we get this confidence interval: -0.000508 6 p1 - p2 6 -0.000309. What does this confidence interval suggest about the claim?

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