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 P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, #p2. Sample data are x, = 28, n, = 255, x, = 36, and n, = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = 0 versus H,: p, = 0 O B. Ho: P1 = P2 versus H,: P, P2
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- In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. New machine: X1 bar = 40.12, s1 = 0.656, nl = 12 Old machine: X2 bar = 43.54, s2 = 0.760, n2 = 12 These are independent samples. Find the pooled variance?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,In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).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 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.Opposing a random sample of size and equal 16A sample average of 185 it is observed the P value of the sample statistic isConduct 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,Solve question (c) pleaseConduct 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 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. 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. 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