SOLUTION: A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4%

Algebra ->  Probability-and-statistics -> SOLUTION: A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4%      Log On


   



Question 470533: A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A report states that 54% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
---------
n = [z/E]^2*pq
----
n = [1.96/0.04]^2*0.54*0.46
---
n = 597 when rounded up
===============================
Cheers,
Stan H.
================