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= 84,                  p̂ 1=0.823  UVA (Pop. 2):  n2= 87,                  p�� 2=0.585 Find a 97% confidence interval for the difference p1−p2 of the population proportions. Confidence interval =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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= 84,                  p̂ 1=0.823 
UVA (Pop. 2):  n2= 87,                  p�� 2=0.585

Find a 97% confidence interval for the difference p1−p2 of the population proportions.

Confidence interval = 

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