document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183154>Question 1183154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examining the records for all students, the dean randomly selected 200 students and finds that 118 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813545 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=813545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p hat=0.59<BR>\n" );
document.write( "90% half-interval is z(0.95)*sqrt(p*(1-p)/n)<BR>\n" );
document.write( "=1.645*sqrt(0.59*0.41/200)<BR>\n" );
document.write( "=0.0572<BR>\n" );
document.write( "the 90%CI is (0.533, 0.647) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );