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 x1 = 28, n1 = 255, x2 = 36, and n2 = 301.
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- After the political ad campaign, pollsters check the mayor's positives. They test the hypothesis that the ads produced no change against the alternative that the positives are now above 47% and find a P-value of 0.283. Which conclusion is appropriate? Explain. Choose the correct answer below. O A. There is a 28.3% chance that natural sampling variation could produce poll results at least as far above 47% as these if there is really no change in public opinion. There is a 28.3% chance that the poll they conducted is correct. O B. O C. There is a 71.7% chance that the ads worked. O D. There is a 28.3% chance that the ads worked.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,Consider a sample with data values of 10, 40, 60, 80, 90. Compute the variance. Select one: O a. 824 O b. 28.71 О с. 1030 O d. 56 О е. 32.09Conduct 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.Determine whether the following sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative. A researcher wishes to compare annual salaries of patients with and without narcolepsy. She obtains a random sample of 116 patients of each category who work and determines each patient's annual salary. ... Determine whether the following sampling is dependent or independent. OA. The sampling is dependent because an individual selected for one sample does dictate which individual is to be in the second sample. OB. The sampling is dependent because an individual selected for one sample does not dictate which individual is to be in the second sample. OC. The sampling is independent because an individual selected for one sample does dictate which individual is to be in the second sample. D. The sampling is independent because an individual selected for one sample does not dictate which individual is to be in the second sample. Indicate whether the…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,What conditions are necessary in order to use a one-way ANOVA test? Which conditions below are necessary? Select all that apply. □ □ □ A. The sample sizes must be equal. B. Each population must have the same variance. C. There must be at least 3 samples. D. The sample must be randomly selected from the same population. E. The samples must be randomly selected from a normal, or approximately normal, population. F. The samples must be independent of each other.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…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 IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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