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 p, #P2. Sample data are x, = 30, n, = 255, x, = 36, and n, = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P, =0 versus H,: P, =0 O B. Ho: P1 = P2 versus H,: P, P2 D. Ho: P1 =P2 versus H,: P, #P2 (b) The test statistic z, is. (Round to two decimal places as needed.)
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- In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, 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). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1Find the test statistic, t, to test the hypothesiis that p, = ,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places, n,=25 n, = 30 X, =32 X2 = 30 $=1.5 %3D $2=1.9 O A. 1.986 O B. 4.361 O C. 2.892 券 O D. 3.287 Click to select your answer. 02/16/21 ch 2.3 Homework a 99+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).What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 = 0 E. Ho: Hd 0 Ha: Hd s0 The test statistic is t= 1.43 . (Round to two decimal places as needed.) The critical value(s) is(are) to = (Round to two decimal places as needed. Use a comma to separate answers as needed.)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,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 Ho: P, = P2 versus H,: p, # P2 (b) The test statistic z, is . (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.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. Ho: P, = p, versus H, : p, >P2 Ho: P1 = P2 versus H,: P, #P2 O Ho: P1 = P2 versus H,: P,Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 Ha: Hd s0 E. Ho: Ha 0 F. Ho: Ha 20 Ha: Ha <0 The test statistic is t= 1.94 . (Round to two decimal places as needed.) The critical value(s) is(are) to (Round to two decimal places as needed. Use a comma to separate answers as needed.)The manufacturer of a popular soft drink claims that cans of this drink contain 12 ounces. A consumer group is suspicious of this claim and believes the amount in each can is less than 12 ounces. A random sample of 18 cans is selected and the amount in each can is measured. The results are as follows: 11.9 11.9 12.0 11.9 12.0 11.7 11.6 11.5 11.6 12.0 11.8 11.7 12.2 11.5 12.1 11.8 12.1 11.8 Calculate the sample standard deviation s. Round its value to two decimal places.____________Provide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. HTML Editor BIUA A、IE三= Ex x E 曲。 12pt Pa SAMSUNG 10Recommended 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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