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 critical value. Assume that the samples were obtained independently using simple random sampling. = 301. Test whether p₁ #P2. Sample data are x₁ = 30, n₁ = 254, x₂ = 38 and n₂ (a) Determine the null and alternative hypotheses. Choose the correct answer below. O Ho: P₁ = P2 versus H₁: P₁
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- The following results are for two independent samples taken from the two populations. Sample 1 n₁ = 80 X₁ = 104 01 = 8.5 Sample 2 n₂ = x2 = 70 = 106 02 = 7.4 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.77. You use a significance level of α=0.002α=0.002. H0:p=0.77H0:p=0.77 H1:p>0.77H1:p>0.77You obtain a sample of size n=324n=324 in which there are 256 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.77. There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have…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.)
- Assume that you plan to use a significance level of a= 0.05 to test the claim that p1 = p2 . Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 50 x1 = 8 n2 = 50 x2 = 70. A high school principal claims that the variance in the GPA of students in the graduating class is Tess than 0.39. You test this claim by sampling 31 seniors and find their GPA have a variance or 0.21. Ho:o? Ha:o2 < 0.39 (Claim) = 0.39 Is there enough evidence to reject Ho and support the principal's claim at a 0.10 level of significance? ohs A. No, the test statistic x? B. No, the test statistic x2 = 16.154 is not in the rejection region with critical value 40.256 C. Yes, the test statistic x? D. No, the test statistic x2 = 21.434 is not in the rejection region with critical value 20.599 E. Yes, the test statistic x? = 16.154 is in the rejection region with critical value 20.599 = 20.599 is not in the rejection region with critical value 21.434 %3D 20.599 is in the rejection region with critical value 16.154 %DConduct 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 Answer
- 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.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. %3D
- 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,(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.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,Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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