Test: Final Exam Question 30 of 50 > A sociologist randomly selects single adults for different groups of three. X P(X) and the random variable x is the number in the group who say that the moet fun way to flirt is in person. Determine whether a probability 0 0.068 distribution is given. If a probability distribution is given, find its mean and 1 0.342 standard deviation. If a probability distribution is not given identry the 2 0.415 requirements that are not satisfied 3 0.155 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive O C. No, the random variable x's number values are not associated with probabilities OD. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x is categorical instead of numerical Find the mean of the random variable x. Select the correct choice below and, If necessary, fill in the answer box to complete your choice. 9 A. [ adult(3) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. Find the standard deviation of the random variable x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ( A. This test: This quest Assume that you plan to use a significance level of a = 0.05 to test the claim that p, = p2- Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. my - 677. my = 3377 x1 - 172, x2 - 654 O A. 0.452 O B. 0.408 D C. 0.204 O D. 0.163Test: Final Exam Question 48 of 50 > This test: 100 po This question: 2 Assume that you plan to use a significance level of o= 0.05 to test the claim that p, = p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. my = 100, ny = 100 X1 = 42, X2 = 45 O A. 0.435 O B. 0.305 O C. 0.479 OD. 0.392 E Test: Final Exam Question 49 of 50 Assume that you plan to use a significance level of a = 0.05 to test the claim that p, = p2- Use the given sample sizes and numbers of successes to find the p-value for the hypothesis test 71 = 50, n2 = 50 x1 = 8, x2 = 7 O A. D.2206 O B. D.6103 O C. D.3897 O D. 0.7794 E Test: Final Exam Question 50 of 50 When testing the claim that p, = p2, a test statistic of z= 2.04 is obtained. Find the p-value obtained from this test statistic. O A. 0.9793 O B. 0.0414 O C. 0.0207 O D. 0.9586