422 Chapter 9 Hypothesis Testing c. Interpret the P-value. d. Is H0 rejected at the �� = 0.05 level? Yes e. Is H0 rejected at the �� = 0.01 level? Yes Answers are on page 433. Performing hypothesis tests with technology Following are the results of Example 9.14, as presented by the TI-84 Plus calculator. CAUTION P-values computed using technology may differ slightly from those computed with tables due to rounding. The differences are never large enough to matter. The first line presents the alternate hypothesis, �� ≠ 74. Following that are the test statistic (z), the P-value (p), the sample mean ( ̄x), and the sample size (n). Note that the P-value differs slightly from the value obtained in Example 9.14 by using Table A.2. This is common. Results given by technology are more precise, and therefore often differ slightly from results obtained from tables. The differences are never large enough to matter. Following are the results of Example 9.14 as presented by MINITAB. �������� ���� ���� = ���� �� ���� ������ = ���� �� ������ �������������� ���������������� ������������������ = �� �� �� �� ������ �� �� ������ �� �������� ���� �������� ���� �������� �� �������� ����~ ���� .���� ������, ���� ������/ The second line of the output presents both the null and alternate hypotheses. The quantity labeled ‘‘SE Mean’’ is the standard error of the mean, ��∕ √ n, which is the standard deviation of ̄x. Notice that MINITAB provides a 95% confidence interval for �� along with the hypothesis test. Step-by-step instructions for performing hypothesis tests with technology are presented in the Using Technology section on page 427. Check Your Understanding 15. The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean. a. What are the null and alternate hypotheses? H0 : �� = 15, H1: �� ≠ 15 b. What is the value of the test statistic? 2.072750901 c. What is the P-value? 0.0381953363 d. Do you reject H0 at the �� = 0.05 level? Yes 16. The following output from MINITAB presents the results of a hypothesis test for a population mean.
navidi_monk_elementary_statistics_2e_ch7-9
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