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= 84,                  p̂ 1=0.823  UVA (Pop. 2):  n2= 87,                  p�� 2=0.585 Find a 97% confidence interval for the difference p1−p2 of the population proportions. Confidence interval =

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