SOLUTION: A report states that 40% 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.Com
Question 741966: A report states that 40% 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)   (Show Source): You can put this solution on YOUR website!
A report states that 40% 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*p*q
-------
n = [1.96/0.04]^2*0.4*0.6 = 577 when rounded up
============================
Cheers,
Stan H.
================================

RELATED QUESTIONS

A report states that 40% of home owners had a vegetable garden. How large a sample is... (answered by Boreal)
A report states that 54% of home owners had a vegetable garden. How large a sample is... (answered by stanbon)
A report states that 44% of home owners have a vegetable garden. How large a sample is... (answered by stanbon)
A report states that 46% of car owners had a V8 engine. How large a sample is needed to... (answered by stanbon)
A federal report indicated that 27% of children ages 2 to 5 years had a good diet—an... (answered by Theo)
A federal report stated that 88% of children under age 18 were covered by health... (answered by stanbon)
A survey of 36 "iPhone" owners showed that the purchase price has a sample mean of $450... (answered by stanbon)
(a) In a random sample of 150 persons having their lunch at the University cafeteria on... (answered by stanbon)
An advertising firm states that 27% of households will buy something on the Internet next (answered by robertb)