document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #452220 by stanbon(75887)\"\" \"About 
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" ); document.write( "---------------------
\n" ); document.write( "n = [z/E]^2*p*q
\n" ); document.write( "-------
\n" ); document.write( "n = [1.96/0.04]^2*0.4*0.6 = 577 when rounded up
\n" ); document.write( "============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================================
\n" ); document.write( "
\n" );