document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121479>Question 1121479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a survey of 6000 ;women, 3431 say they change their nail polish once a week. Construct a 99 % confidence interval for the population proportion of women who change their nail polish once a week.<BR>\n" );
document.write( "A 99% confidence interval for the population proportion is &#8203;(<BR>\n" );
document.write( "nothing&#8203;,<BR>\n" );
document.write( "nothing&#8203;)<BR>\n" );
document.write( "(Round to three decimal places as&#8203; needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737421 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=737421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> point estimate is 3431/6000=0.572<BR>\n" );
document.write( "CI is 0.572+/- z*SE, the second part is 2.576*sqrt(p*(1-p)/n) sqrt(0.245/6000)=0.0064<BR>\n" );
document.write( "CI half-interval is 0.0165 or 0.017<BR>\n" );
document.write( "(0.555, 0.589) </SPAN>\n" );
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