Conduct the following test at the alpha=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p 1 not equals p 2p1≠p2. Sample data are x 1 equals 30x1=30, n 1 equals 254n1=254, x 2 equals 38x2=38, and n 2 equals 301n2=301.
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- Conduct the following test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling. Test whether p, # p2. Sample data are x, = 30, n, = 254, x, = 38 and n, = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O Họ: P1 = P2 versus H1: P1 P2 (b) The test statistic zo is - 0.29. (Round to two decimal places as needed.) (c) The critical values are + (Round to three decimal places as needed.)A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p3. The sample data are x, = 125, n, = 251, x, = 135, and n, = 312. (a) Choose the correct null and alternative hypotheses below. (b) Determine the test statistic. Zo = (Round to two decimal places as needed.) O A. Ho: p, =p, versus H,: p, > P2 O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion (c) Determine the P-value. The P-value is O C. Ho: P, =p2 versus H,: p,Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the level of significance α. Assume that the samples are random and independent. Claim: p1≠p2, α=0.01 Sample Statistics: x1=36, n1=75, x2=38, n2= 65 State the null and alternative hypotheses, if applicable. Calculate the standardized test statistic for the difference p1−p2, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. State the conclusion of the hypothesis test, if applicable. Choose the correct answer below.In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 + p2. Sample data are x, = 30, n1 = 255, x2 = 36, and n2 = 301. %3D (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = 0 versus H1: P1 = 0 B. Ho: P1 = P2 versus H,: p1 P2 D. Ho: P1 = P2 versus H,: p1 # P2 (b) The test statistic is (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. ? parts remaining Clear All Check AnswerConduct a test at the α=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=124, n1=243, x2=139, and n2=312.Conduct the following test at the α=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=28, n1=254, x2=36, and n2=301.Conduct the following test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, # p2. Sample data are x, = 30, n, = 254, x, = 36, and n, = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 =P2 versus H,: p, +P2 O B. Ho: P1 = P2 versus H,: p, > P2 O C. Ho: P1 = 0 versus H,: p1 = 0 O D. Ho: P1 = P2 versus H,: P1 p,. O D. Reject the null hypothesis because there is not sufficient evidence to conclude that p,Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #p,. Sample data are x, = 28, n, = 255, x, = 38 and n, = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. Ho: P, = p, versus H, : p, >P2 Ho: P1 = P2 versus H,: P, #P2 O Ho: P1 = P2 versus H,: P,Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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