document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168109>Question 1168109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	Suppose a presidential candidate wants to compare the preferences of registered voters<BR>\n" );
document.write( "in the northeastern United States with those in the southeastern United States. Such<BR>\n" );
document.write( "a comparison would help determine where to concentrate campaign efforts. The candidate hires a professional pollster to randomly choose 1,500 registered voters in the northeast and 2,000 in the southeast and interview each to learn of her or his voting preference.\r<BR>\n" );
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document.write( "Construct a 95% confidence interval for the difference between population proportion of voters in Northeast and the population proportion of voters in Southeast.\r<BR>\n" );
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document.write( "Results of Poll<BR>\n" );
document.write( "Northeast	Southeast<BR>\n" );
document.write( "n1 = 1,500	n2 = 2,000<BR>\n" );
document.write( "x1 = 546	x2 = 475\r<BR>\n" );
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document.write( "Please helps thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792725 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=792725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p1=0.364<BR>\n" );
document.write( "p2=0.2375\r<BR>\n" );
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document.write( "the difference is 0.1265<BR>\n" );
document.write( "the SE is sqrt (0.364*0.636/1500)+(0.2375*0.7625/2000). this is sqrt (p1*(1-p1)/n2+p2(1-p2)/n2))<BR>\n" );
document.write( "=0.0156<BR>\n" );
document.write( "the CI half-interval is 1.96*0.0156=0.0306<BR>\n" );
document.write( "this is added to and subtracted from the mean to get (0.0959, 0.1571)\r<BR>\n" );
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document.write( "Where you round and how much determines that last two decimal places. </SPAN>\n" );
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