document.write( "Question 281449: I am about to ask MTV viewers the following question: \"Do you regularly watch MTV's Beavis and Butthead?\" Last week I asked 100 of my friends the same question and 35 of them said yes.
\n" ); document.write( "
\n" ); document.write( "How many actual viewers must be surveyed to be 95% confident that the estimate of the viewership is in error by at most 3%? (Assume 100% response rate.)
\n" ); document.write( "
\n" ); document.write( "What would be your answer if I had not surveyed any of my friends?
\n" ); document.write( "
\n" ); document.write( "Please show details of your work.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #204439 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How many actual viewers must be surveyed to be 95% confident that the estimate of the viewership is in error by at most 3%? (Assume 100% response rate.)
\n" ); document.write( "------------------
\n" ); document.write( "n = [zs/E]^2
\n" ); document.write( "n = [1.96*s/0.03]^2
\n" ); document.write( "----
\n" ); document.write( "You would need to know the standard deviation
\n" ); document.write( "of the distribution.
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );