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, p,. Sample data are x, = 30, n, = 254, x2 = 38 and ng = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O H: P, = P2 versus H;: p, > P2 O Hg: P, = P2 versus H,: P,
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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 = 0.05 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 p, > P2. The sample data are x, = 123, n, = 244, x2 = 138, and n, = 303. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = 0 versus H,: P1 # 0 O B. Ho: P1 = P2 versus H,:P, P2 O D. Ho: P1 = P2 versus H,: p1 # P2 (b) Determine the test statistic. Zo = 1.13 (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is 0.129. (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there is sufficient evidence to conclude that p, P2-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,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…(a) Find the critical value(s) assuming that the population variances are equal. (b) Find the critical value(s) assuming that the population variances are not equal.Conduct 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 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,(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.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. 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