Two random samples are taken one from among UVA students and

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=97,n2=96,p

Solution

alpha,a = 1-0.978 = 0.022
n1= 97 , p1= 0.745
n2= 96 , p2= 0.573

Za/2 = Z0.011 = 2.29

confidence interval:
(p1 - p2) +/- [Za/2 * SE]
(0.745-0.573) +/- [2.29 * 0.06714]
0.172 +/- 0.1537
( 0.0183 , 0.3257 )