document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103776>Question 1103776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample consisting of 922 men and 543 women was asked various questions pertaining to the nation's economy. For a 95% level of confidence, find the margin of error associated with the following samples. (Round your answers to one decimal place.)\r<BR>\n" );
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document.write( "(a) the male sample\r<BR>\n" );
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document.write( "(b) the female sample\r<BR>\n" );
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document.write( "(c) the combined sample<BR>\n" );
document.write( " please help, thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718472 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=718472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The half confidence interval is z*sqrt(p*(1-p))/n<BR>\n" );
document.write( "z=1.96<BR>\n" );
document.write( "1.96*sqrt(0.5)(0.5)/922, using 0.5 since that gives the largest sample size and is the most conservative estimate.<BR>\n" );
document.write( "3.2% margin of error.<BR>\n" );
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document.write( "similarly for b<BR>\n" );
document.write( "4.2%<BR>\n" );
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document.write( "and for c<BR>\n" );
document.write( "2.6%<BR>\n" );
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document.write( "the margin of error may be estimated as 1/sqrt(n), since 1.96 * 0.5 is about 1 </SPAN>\n" );
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