# Question

Consider the following null and alternative hypotheses:

H0: p = .44 versus H1: p < .44

A random sample of 450 observations taken from this population produced a sample proportion of .39.

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 = .01? What if α = .025?

H0: p = .44 versus H1: p < .44

A random sample of 450 observations taken from this population produced a sample proportion of .39.

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 = .01? What if α = .025?

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