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=92,

p1=0.772

p2=0.693

Find a 94.3% confidence interval for the difference p1p2of the population proportions.