SOLUTION: A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interva for the true proportion of all voters in

Algebra ->  Probability-and-statistics -> SOLUTION: A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interva for the true proportion of all voters in       Log On


   

Question 216089: A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interva for the true proportion of all voters in the state who favor approval.
I know the answer is 12.74
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.
I know the answer is 12.74
----------------------------------
sample proportion = 408/865 = 0.47
----------------------
standard error = 1.96*sqrt[0.47*0.53/865] = 0.033
------------------------------
95% CI: 0.47-0.33 < p < 0.47+0.33
95% CI: 0.14 < p < 0.8
=============================
Cheers,
Stan H.