Two random samples are taken, one from among UVA students and the other from

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 =