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 independer sampling. Test whether p, #p. Sample data are x, = 30, n, = 255, x, = 38 and n, = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O Ho: P, = P2 versus H,: p, p2 O Hg: P, = P2 versus H,: p, #P2 (b) The test statistic z, isD. (Round to two decimal places as needed.) (c) The critical values are + (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O Reject the null hypothesis. O Do not reject the null hypothesis.
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- 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 AnswerLooking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
- 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.Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: μ = 50; x = 0.05; ♂ = 3.12. Sample statistics: x = 48.8, n = 76 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: μ = 50 H₂: μ#50 OC. Ho: μ>50 H₂:μ=50 O E. Ho: μ = 50 H₂:μ>50 B. Ho: μ<50 H₂: H=50 Calculate the standardized test statistic. The standardized test statistic is - 3.35. (Round to two decimal places as needed.) D. H₂: μ = 50 Hg:μ < 50 OF. Ho: μ#50 H₂:μ = 50 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are ±
- (c) For a two-tailed test using the t-distribution, if the sample size is 10, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01. %3DA radio show producer believes that a new proposed format would be preferred by only 25% of their current listeners. A survey of 100 current listeners showed that 17 favored the new format. Find the test statistic z and test the claim. H0:p= 0.25. use the significance level a=.05.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.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. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: 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. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman