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=95, p1=0.793 p2=0.637

Find a 96.1% confidence interval for the difference p1p2 of the population proportions.

Confidence Interval =