450 Chapter 9 Hypothesis Testing sample of 200 students at the university and finds that 40 of them, or 20%, read a newspaper each day. Can she conclude that the proportion of students who read a daily newspaper differs from 0.15? Use the �� = 0.05 level of significance. a. State the null and alternate hypotheses. H0 : p = 0.15, H1: p ≠ 0.15 b. Compute the test statistic. z = 1.98 c. Compute the P-value. 0.0478 Tech: 0.0477 d. State a conclusion. Answers are on page 458. Performing a hypothesis test with technology The following computer output (from MINITAB) presents the results of Example 9.19. �������� ���� �� = �� ���� ���� �� > �� �� �� ������������ �� ��-���������� �� ���� ��-���������� �� �� ������������ �� ����% ���������� ���������� ������ ������ �������������� �������������� �������� Most of the output is straightforward. The first line specifies the null and alternate hypotheses. The quantity labeled ‘‘X’’ is the number of people in the sample who think Facebook is cool, and N is the sample size. The quantity labeled ‘‘Sample p’’ is the sample proportion ̂p. The quantity labeled ‘‘95% Lower Bound’’ is a 95% lower confidence bound for the population proportion p. The interpretation of this quantity is that we are 95% confident that the population proportion p is greater than or equal to 0.877932. Next is the value of the test statistic z, labeled ‘‘Z-value,’’ and finally at the end of the row is the P-value. The following display from a TI-84 Plus calculator presents the results of Example 9.19. The first line in the display presents the alternate hypothesis. The word ‘‘prop’’ refers to the population proportion p. Note that the letter ‘‘p’’ in the third line is the Pvalue, not the population proportion. This number is written in scientific notation as 8.7076769E-4. This indicates that we should move the decimal point four places to the left, so P = 0.00087076769. Step-by-step instructions for performing hypothesis tests with technology are presented in the Using Technology section on page 453. Check Your Understanding 2. The following output from MINITAB presents the results of a hypothesis test. �������� ���� �� = �� ���� ���� �� < �� ���� ������������ �� ��-���������� *�� ���� ��-���������� �� �� ������������ �� ����% ���������� ���������� ���� ������ �������������� �������������� ��������
navidi_monk_elementary_statistics_2e_ch7-9
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