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):UNC (Pop. 2):n1=82,n2=81,p^1=0.8p^2=0.564 UVA (Pop. 1):n1=82,p^1=0.8UNC (Pop. 2):n2=81,p^2=0.564   Find a 94.9% confidence interval for the difference p1−p2p1−p2 of the population proportions. Confidence interval =

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