document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126658>Question 126658</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/321462572/algebrahomeworkh>Elementary Statistics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In a survey of 1002 people, 701 said that they voted in a recent presidental election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote.\r<BR>\n" );
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document.write( "a.  Find a 99% confidence interval estimate of the proportion of people who say that they voted.\r<BR>\n" );
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document.write( "b. Are the results consistent with the actual voter turnout of 61% why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92825 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=92825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a survey of 1002 people, 701 said that they voted in a recent presidental election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote.<BR>\n" );
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document.write( "a.  Find a 99% confidence interval estimate of the proportion of people who say that they voted.\r<BR>\n" );
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document.write( "p-hat = x/n = 701/1002 = 0.6996<BR>\n" );
document.write( "E=z*sqrt[(p-hat)(q-hat)/n]<BR>\n" );
document.write( "= 2.575*sqrt[(0.6996)(0.3004)/1002] = 0.037292<BR>\n" );
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document.write( "99% C.I.: (0.6996-0.03729,0.6996+0.0729)<BR>\n" );
document.write( "= (0.662308,0.736892)\r<BR>\n" );
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document.write( "b. Are the results consistent with the actual voter turnout of 61% why or why not? <BR>\n" );
document.write( "No, because 61% does not fall in the confidence interval <BR>\n" );
document.write( "range of values for p.\r<BR>\n" );
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document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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