document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354373>Question 354373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, p hat is estimated to be 0.2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253242 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, p hat is estimated to be 0.2.<BR>\n" );
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document.write( "Since E = z*sqrt(pq/n)<BR>\n" );
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document.write( "n = [z/E]^2*pq<BR>\n" );
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document.write( "n = [1.96/0.08]^2*0.2*0.8<BR>\n" );
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document.write( "n = 97 when rounded up<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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