Consider the one-tailed test of hypothesis, H 0 : = 100 versus H a :

Consider the one-tailed test of hypothesis, H₀: μ = 100 versus H_a: μ > 100.

a. Suppose the test statistic is z = 1.44. Find the p-value of the test and the rejection region for the test when α = .05. Then show that the conclusion using the rejection region approach will be identical to the conclusion based on the p-value.

b. Now suppose the test statistic is z = 3.01; find the p-value and rejection region for the test when α = .05. Again, show that the conclusion using the rejection region approach will be identical to the conclusion based on the p-value.