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Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): n1 = 90, a] = 0.723 UNC (Pop. 2): n2 = 93, 1'22 = 0.67 Find a 94.7% confidence interval for the difference p1 p2 of the population proportions. Confidence interval = Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and proportions of each group answering yes" are given below: Pop. 1: 111 = 97, $1 = 0.758 Pop. 2: n; = 88, 272 = 0.681 Suppose that the data yields (-0.069, 0.223) for a confidence interval for the difference p1 p2 of the population proportions. What is the confidence level? (Give your answer in terms of percentages.) Confidence Level = (1 point) Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below: 111 = 35, 561 = 51.9 712 = 40, 5c; = 71.8 If the 96.5% confidence interval for the difference [.11 m of the means is (-24.1775, -15.6225), what is the value of the pooled variance estimator? (You may assume equal population variances.) The definition of the pooled variance estimator is given in the textbook, Chapter 7.3.4. Pooled Variance Estimator =