document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250042>Question 250042</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A machine produces 9 inch latex gloves. A sample of 15 gloves is selected, and it is found that 8 are shorter than they should be. Find the 99% confidence interval on the proportion of all such gloves that are shorter than 9 inches. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182057 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=182057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine produces 9 inch latex gloves. A sample of 15 gloves is selected, and it is found that 8 are shorter than they should be. <BR>\n" );
document.write( "Find the 99% confidence interval on the proportion of all such gloves that are shorter than 9 inches.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "p-hat = 8/15 = 0.5333<BR>\n" );
document.write( "standard error = invT(0.005,df=14)*sqrt(0.5333*0.4667/15) <BR>\n" );
document.write( "= 2.9768*sqrt(0.0166)<BR>\n" );
document.write( "= 0.3834<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "99%CI: 0.5333-0.3834 < p < 0.5333+0.3834<BR>\n" );
document.write( "99%CI: 0.1499 < p < 0.9167<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );