# Question

Consider the following null and alternative hypotheses:

Ho: p = .80 versus H1: p ≠ .82

A random sample of 600 observations taken from this population produced a sample proportion of .86.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .025? What if α = .01?

Ho: p = .80 versus H1: p ≠ .82

A random sample of 600 observations taken from this population produced a sample proportion of .86.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .025? What if α = .01?

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