document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120679>Question 1120679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a random sample of 200 observations, we found the proportion of successes to be 48% use a 90% degree of confidence to estimate the population proportion of successes . repeat with n 500 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736972 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=736972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The half interval for 90% CI is +/- z*SE, where z is 1.645 and SE is sqrt(.48*.52/200)<BR>\n" );
document.write( "1.645*0.0353 or 0.0581<BR>\n" );
document.write( "So the interval is 48%+/-5.81%<BR>\n" );
document.write( "or (0.4219, 0.5381)\r<BR>\n" );
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document.write( "For n=500 the SE is 0.0223 and the half interval 0.0368\r<BR>\n" );
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document.write( "(0.4432, 0.5168) </SPAN>\n" );
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