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=87, p1=0.725

UNC (Pop. 2):n2=92,p2=0.609

Find a 97.1% confidence interval for the differencep1p2

of the population proportions. Hint: For a level of confidence(1)100%z

is the value that leaves an area of(1)/2

to its right in a standard normal distribution. Report your solution as an interval, e.g., (0.2, 0.4). THE BRACKETS ARE REQUIRED.