Conduct the following test at the α=0.10level 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=38, and n2=301.
Q: Conduct the following test at the a = 0.10 level of significance by determining (a) the null and…
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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.)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.Conduct a 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 the samples were obtained independently from a large population using simple random sampling Test whether PP2- The sample data are x, 120, n, 251, x₂ = 137, and n₂-312. (a) Choose the correct null and alternative hypotheses below. OA Ho: P₁ P₂ versus H₁: P₁ P₂ OB. Ho: P₁ P₂ versus H₁: P₁ P₂ OC. Ho: P₁0 versus H₁: P₁ #0 OD. Ho: P₁ P₂ versus H₁: P₁ P₂ (b) Determine the test statistic. z (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #P2- OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ P2- OD. Do not reject the null hypothesis because there is not sufficient evidence…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 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 α=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 p1≠p2.Sample data are x1=28, n1=255, x2=36 and n2=302. (a) Determine the null and alternative hypotheses. (b) The test statistic z0 is (c) The critical values are Test the null hypothesis.conduct the following test at the α=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 p1≠p2. Sample data are x1=30, n1=255, x2=38 and n2=301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. H0: p1=p2 versus H1: p1≠p2 H0: p1=p2 versus H1: p1<p2 H0: p1=p2 versus H1: p1>p2 (b) The test statistic z0 is nothing. (Round to two decimal places as needed.) (c) The critical values are ±nothing. (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. Do not reject the null hypothesis. Reject the null hypothesis.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= 0.01 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, x2 = 38 and n, = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O Ho: p, = P2 versus H,: p, > p2 O Hg: p, = p, versus H,: 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 the following test at the x = 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 p₁ #P2. Sample data are x₁ =30, n₁ = 254, x2 = 38, and n₂ = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: P₁ P2 versus H₁: P₁ > P2 OC. Ho: P₁ P₂ versus H₁: P₁ P2 (b) The test statistic zo is. (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. C... O B. Ho: P1 P2 versus H₁: P₁ P2- OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ #P₂2- OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #P₂- OD. Reject the null hypothesis because there is not sufficient evidence to conclude that p₁…Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. 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