document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193926>Question 1193926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A political polling organization wants to estimate the proportion of independent voters who plan to vote for Candidate X, the incumbent State Senator. Assuming a confidence level of 95%, calculate n, the number of voters they need to survey to ensure a 3% margin of error. Calculate n for the following two cases: (1) the organization makes no assumptions based on prior poll results, and (2) based on historical election results, the organization assumes that roughly 62% of eligible voters will vote for Candidate X. (Round your answers upward to the next higher integer.)\r<BR>\n" );
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document.write( "(1) If no assumptions are made based on prior poll results, the sample size required to ensure a margin of error of 0.03 is n =\r<BR>\n" );
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document.write( "(2) If it is assumed that roughly 62% of eligible voters will vote for Candidate X, the required sample size required to ensure a margin of error of 0.03 is n =\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826037 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=826037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> error=z(0.975)*sqrt(SE)=1.96*sqrt(0.5*0.5/n)=0.03<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "3.8416*0.25/n=0.0009<BR>\n" );
document.write( "n=3.8416*0.25/0.0009=1061.11 or 1068<BR>\n" );
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document.write( "1.96*sqrt(0.62*0.38/n)/=0.03<BR>\n" );
document.write( "3.8416*0.2356/n=0.0009<BR>\n" );
document.write( "n=1005.65 or 1006 </SPAN>\n" );
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