SOLUTION: A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 150 voters surveyed, 120 feel that their local gover

Algebra ->  Probability-and-statistics -> SOLUTION: A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 150 voters surveyed, 120 feel that their local gover      Log On


   

Question 437870: A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 150 voters surveyed, 120 feel that their local government is doing an adequate job. Calculate 99% confidence interval for the true proporation of voters that feel that their government is doing an adequate job.
I dont feel that their is enough information to start this problem up. Can you please help me to set this up. THanks so much
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 150 voters surveyed, 120 feel that their local government is doing an adequate job. Calculate 99% confidence interval for the true proporation of voters that feel that their government is doing an adequate job
----
Amazingly, that is all the info you need.
-----
p-hat = 120/150 = 4/5 = 0.8
---
ME = zs = 2.5758*sqrt[0.8*0.2/150] = 0.08413
---
99%CI: 0.8-0.08413 < p < 0.8+0.08413
99%CI: 0.7159 < p < 0.88413
=====================================
Cheers,
Stan H.
============