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

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=88,n2=90,p̂ 1=0.839p̂ 2=0.593UVA (Pop. 1):n1=88,p^1=0.839UNC (Pop. 2):n2=90,p^2=0.593

Find a 97.9% confidence interval for the difference p1−p2p1−p2 of the population proportions.

Confidence interval =

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