document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216089>Question 216089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interva for the true proportion of all voters in the state who favor approval.\r<BR>\n" );
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document.write( "I know the answer is 12.74<u<16.46 but need help showing work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163403 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=163403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey of 865 voters in one state reveals that 408 favor approval of an issue before a legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. <BR>\n" );
document.write( "I know the answer is 12.74<BR>\n" );
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document.write( "sample proportion = 408/865 = 0.47<BR>\n" );
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document.write( "standard error = 1.96*sqrt[0.47*0.53/865] = 0.033<BR>\n" );
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document.write( "95% CI: 0.47-0.33 < p < 0.47+0.33<BR>\n" );
document.write( "95% CI: 0.14 < p < 0.8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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