Question: 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

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=0.729

UNC (Pop. 2):n2=86,p2=0.627

Find a 97.5% confidence interval for the differencep1p2of the population proportions.

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