Question 1155760
half-interval is sample mean +/- 1.96*sqrt(p*(1-p)/n)
x bar is (157/596)=0.263
sqrt(.263*.737)=sqrt (0.000325)=0.0180
half-interval is 0.035
95%CI is (0.228, 0.298)
Since 0.25 is in the interval the results do not contradict expectations.