document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284362>Question 284362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6. A machine produces 9 inch latex gloves. A sample of 81 gloves is selected, and it is found that 37 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 #206354 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=206354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine produces 9 inch latex gloves. A sample of 51 gloves is selected, and it is found that 46 are shorter than they should be. <BR>\n" );
document.write( "Find the 98% confidence interval on the proportion of all such gloves that are shorter than 9 inches. <BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "sample proportion = 46/51 = 0.90<BR>\n" );
document.write( "---<BR>\n" );
document.write( "standard error = E = invNorm(0.985)*sqrt[0.9*0.1/(51)] = 0.04<BR>\n" );
document.write( "----<BR>\n" );
document.write( "98% CI: 0.9-0.04 < p < 0.9+0.04<BR>\n" );
document.write( "98% CI: 0.86 < p < 0.94<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );