document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190678>Question 1190678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Parle Agro India Pvt. Ltd. wants to conduct a survey to find whether more people prefer Frooti to Slice. It was estimated before the survey that half of the population prefers Frooti and half prefers Slice. How large a sample would Parle Agro India Pvt. Ltd. have to take to estimate the proportion of people who prefer Frooti within +/- 0.03 of the actual value, with 98% confidence? considering Z value is 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822926 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> error=z*sqrt(p*(1-p)/n)<BR>\n" );
document.write( "0.03=2*sqrt(0.25/n)<BR>\n" );
document.write( "0.0009=4*0.25/n, squaring both sides<BR>\n" );
document.write( "0.0009n=1<BR>\n" );
document.write( "n=1111.11 or 1112 using z=2<BR>\n" );
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document.write( "using z=2.326 which is for 98% CI<BR>\n" );
document.write( "0.0009=2.326^2*0.25/n<BR>\n" );
document.write( "n=2.326^2*0.25/0.0009=1502.85 or 1503\r<BR>\n" );
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