In Exercise 8.47 on page 319, we introduced one-sided one-mean z-intervals. The following relationship holds between hypothesis tests and confidence intervals for one-mean z-procedures: For a right-tailed hypothesis test at the significance level α, the null hypothesis
H0: μ = μ0 will be rejected in favor of the alternative hypothesis
Ha: μ > μ0 if and only if μ0 is less than the (1 − α)-level lower confidence bound for μ. In each case, illustrate the preceding relationship by obtaining the appropriate lower confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.
a. Exercise 9.73
b. Exercise 9.78