Question

Construct a confidence interval of the population proportion at the given level of confidence.

x=540540​,

n=1100​,

94​%

Answer 1

sample success x =	540
sample size          n=	1100
sample proportion p̂ =x/n=	0.4909
std error se= √(p*(1-p)/n) =	0.0151
for 94 % CI value of z=	1.88
margin of error E=z*std error   =	0.0283
lower bound=p̂ -E                       =	0.4626
Upper bound=p̂ +E                     =	0.5192
from above 94% confidence interval for population proportion =(0.4626 ,0.5192 )