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, #P2. Sample data are x, = 28, n, = 255, x2 = 38 and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O Ho: P, "P2 versus H,: P, > P2 O Ho: P1 = P2 Vversus H,: P, # P2 O Ho: P, =P2 versus H,: P,
Q: Conduct the following test at the a = 0.10 level of significance by determining (a) the null and…
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- 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…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,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,(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.For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1 < H2, a = 0.01. Sample statistics: x, = 1215, n, = 45, x2 = 1195, and n2 = 75. Population statistics: 01 = 65 and 02 = 120. (a) The test statistic for H1 - H2 isConduct 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…Test the hypotheses shown below for a random sample with s = 140 and n= 28 at the 5% significance level. Họ: os 100 H,: o?> 100 Click the icon to view the upper critical values of Chi-square distribution table. For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x2: X-11- or x4g/2 and x11-g/2: what is the form of the decision rule? (n-1)s2 (n- 1)s? O A. Reject H, if > Xn-1g/2 or reject H, if 1-1,1-a/2 (n- 1)s2 O B. Reject Ho if (n- 1)s? Oc. Reject H, i -SEE MORE QUESTIONSRecommended 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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