document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155312>Question 155312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mayoral election race is tightly contested. <BR>\n" );
document.write( "    In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor. <BR>\n" );
document.write( "    Based on this sample, what is your initial hunch? <BR>\n" );
document.write( "   Would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.<BR>\n" );
document.write( "         (create the 95% confidence interval... then explain)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114367 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=114367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 572/1100 = 0.52<BR>\n" );
document.write( "Assuming that the mean is 0.5, the standard deviation is sqrt(0.5*0.5/1100)<BR>\n" );
document.write( "= 0.015076<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "For a 95% confidence interval the upper critical value is 0.5 + 1.96*0.015076<BR>\n" );
document.write( "= 0.29548... = .529549<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "since the sample proportion (0.52) is less than the critical value, you<BR>\n" );
document.write( "cannot reject a hypothesis that there is a 50% chance of either candidate winning. You cannot be 95% confident that your candidate will win.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
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