SOLUTION: A sample of 150 U.S. adults is composed of 100 women and 50 men. Estimate the confidence interval for the male population with 99% confidence. CI=YZ(y) 99% CI= 0.23 to 0.43

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 150 U.S. adults is composed of 100 women and 50 men. Estimate the confidence interval for the male population with 99% confidence. CI=YZ(y) 99% CI= 0.23 to 0.43       Log On


   



Question 1161303: A sample of 150 U.S. adults is composed of 100 women and 50 men. Estimate the confidence interval for the male population with 99% confidence.
CI=YZ(y)

99% CI= 0.23 to 0.43
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z*SE, where z is the particular z associated with the CI and SE is sqrt(p(1-p)/n)
the half-interval is z(0.995)*sqrt{(1/3)(2/3)/150} or sqrt (p*(1-p)/n)
=2.576*sqrt(2/1350)=0.0992
the interval is 1/3+/-0.0992 or (0.234, 0.432)