Question

A study done by researchers at a university concluded that

85​%

of all student athletes in a country have been subjected to some form of hazing. The study is based on responses from

1400

athletes. What is the margin of error and the​ 95% confidence interval for the​ study?

Answer 1

sample size          n=		1400
sample proportion p̂ =x/n=		0.8500
std error se= √(p*(1-p)/n) =		0.0095
for 95 % CI value of z=		1.96
margin of error E=z*std error   =		0.0187
lower bound=p̂ -E                       =		0.8313
Upper bound=p̂ +E                     =		0.8687

from above 95% confidence interval for population proportion =(0.8313 < p< 0.8687)