SOLUTION: Please Help Find a 95% confidence interval for the true population proportion. In a survey of 415 adults, 59% said that they favored the proposed environmental laws. Select

Algebra ->  Probability-and-statistics -> SOLUTION: Please Help Find a 95% confidence interval for the true population proportion. In a survey of 415 adults, 59% said that they favored the proposed environmental laws. Select       Log On


   

Question 1169424: Please Help
Find a 95% confidence interval for the true population proportion.
In a survey of 415 adults, 59% said that they favored the proposed environmental laws.
Select one:
A.
59% to 63.9%
B.
54.1% to 63.9%
C.
58.8% to 59.2%
D.
56.5% to 61.5%THANK YOU!!
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half-interval for a 95%CI of a proportion is z(0.975)*sqrt(p(1-p)/n)
=1.96*sqrt(0.59*0.41/415)
=0.0473
the interval is (54.27, 63.73)
B is the best answer