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

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Statistics

Two random samples are taken, one from among UVA students andthe other from among UNC students. Both groups are asked ifacademics are their top priority. A summary of the sample sizes andproportions of each group answering yes'' are given below:

UVA (Pop. 1):UNC (Pop. 2):n1=85,n2=100,p̂ 1=0.733p̂ 2=0.635UVA(Pop. 1):n1=85,p^1=0.733UNC (Pop. 2):n2=100,p^2=0.635

Find a 95.4% confidence interval for the difference p1−p2p1−p2of the population proportions.

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