Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. n1 = 100 n2 = 100 x1 = 42 x2 = 45 Select one: a. 0.435 b. 0.392 c. 0.305 d. 0.479 Question 2 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Construct the indicated confidence interval for the difference between population proportions p1 – p2. Assume that the samples are independent and that they have been randomly selected. In a random sample of 300 women, 45% favored stricter gun control legislation. In a random sample of 200 men, 25% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1 – p2. Select one: a. 0.102 < p1 – p2 < 0.298 b. 0.114 < p1 – p2 < 0.286 c. 0.118 < p1 – p2 < 0.282 d. 0.092 < p1 – p2 < 0.308 Question 3 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. x1 = 958, x2 = 157, s1 = 77, s2 = 88. The sample size is 478 for both samples. Find the 85% confidence interval for μ1 – μ2. Select one: a. 794 < μ1 – μ2 < 808 b. 800 < μ1 – μ2 < 802 c. 793.2946 < μ1 – μ2 < 808.7054 d. 781 < μ1 – μ2 < 821 Question 4 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Assume that you plan to use a significance level of α = 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 n2 = 50 x1 = 8 x2 = 7 Select one: a. 0.3897 b. 0.7794 c. 0.6103 d. 0.2206 Question 5 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of type A (the original paint) and 9 cans of type B (the modified paint) were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows. Type A Type B x1 = 76.3 hrs x2 = 65.1 hrs s1 = 4.5 hrs s2 = 5.1 hrs n1 = 11 n2 = 9 The following 98% confidence interval was obtained for μ1 – μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B: 4.90 hrs < μ1 – μ2 0. What decision rule would you use? Select one: a. Reject H0 if test statistic is greater than -1.415 and less than 1.415. b. Reject H0 if test statistic is less than 1.415. c. Reject H0 if test statistic is greater than 1.415. d. Reject H0 if test statistic is greater than -1.415. Question 9 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The two data sets are dependent. Find d-bar to the nearest tenth. A 69 66 61 63 51 B 25 23 20 25 22 Select one: a. 50.7 b. 39.0 c. 23.4 d. 48.8 Question 10 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. x 28 31 20 25 28 27 33 35 y 26 27 26 25 29 32 33 34 Select one: a. t = -0.185 b. t = -0.523 c. t = -1.480 d. t = 0.690
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