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In 2012, the General Social Survey sampled 166 employed people and asked them how satisfied they were with their jobs. Of the 166 people sampled, 80 said that they were satisfied with their jobs. Can you conclude that more than 45% of employed people in the United States are satisfied with their jobs? Use the a = 0.16 level. a. State the null and alternative hypotheses. Ho : ? v ? v H1 : ? v ? v b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -2 2 Q O O O Critical value(S): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. d. Find the p-value. e. Decide: Select an answer v Hof. Conclusion: At a = 0.16 significance level, there Select an answer v enough evidence to conclude that more than 45% of employed people in the United States are satisfied with their jobs.For the past several years. the mean number of people in a household has been declining. A social scientist believes that in a certain city. the mean number of people per household is less than 3.5. To investigate this. she takes a random sample of 168 households in the city and nds that the mean number of people is 3.28 with a standard deviation of 1.5. Can you conclude that the mean number of people per household is less than 3.5? Use the o: = 0.04 level. a. State the null and alternative hypotheses. H0: (w ?v \\ H1: ?v ?v e. b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3-2-IOI23-3-2-10123-3-2-10I23 Critical value(s): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. d. Find the p-value. e. Decide: Select an answer v Hg. ____._ .._',_r__..__ f. Conclusion: At 0: = 0.04 significance level, there Select an answer v enough evidence to conclude that the mean number of people per household is less than 3.5. UISJZIY'JHISPM MyOpenMaTh A popular blog reports that 40% of college students log in to Facebook on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 202 students. and 95 of them report that they log in to Facebook daily. Can you conclude that the proportion of students who log in to Facebook daily differs from 40%? Use the a = 0.02 level. a. State the null and alternative hypotheses. Hg: '?v ?v H1: '.>v ?v \\ b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: Critical value(s): [Ifthere are two critical values. list both values separated by a comma) c. Find the test statistic. cl. Find the pvalue. (-3. Decide: Select an answer v H0 f. Conclusion: At 0: = 0.02 significance level, there Select an answer v enough evidence to conclude that the proportion of students who log in to Facebook daily differs from 40%