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=90, n2=81, pˆ1=0.758 pˆ2=0.685
Find a 96.4% confidence interval for the difference p1−p2 of the population proportions.

Confidence Interval =