# Question

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

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

## Answer to relevant Questions

Right-tailed test, n = 20, and t = 2.235 a. Use Table IV in Appendix A to estimate the P-value. b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which ...Explain the meaning of each term. a. Null hypothesis b. Alternative hypothesis c. Test statistic d. Significance level What is meant when we say that a hypothesis test is a. Exact? b. Approximately correct? Regarding a hypothesis test: a. What is the procedure, generally, for deciding whether the null hypothesis should be rejected? b. How can the procedure identified in part (a) be made objective and precise? Ha: μ1 < μ2 The null hypothesis is H0: μ1 = μ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the ...Post your question

0