document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192657>Question 1192657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n a study of government financial aid for college students, researchers needed to estimate the proportion of full-time college students who earn a bachelor's degree in 4 years or less. Assuming a confidence level of 90%, find the sample size needed to estimate that proportion with a 0.03 margin of error in two cases: (1) no assumptions are made about the value of the sample proportion, and (2) prior studies have shown that roughly 60% of full-time students earn a bachelor's degree in four years or less. (Round your answers upward to the next higher integer.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824555 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=824555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> error=z(0.95)*std error<BR>\n" );
document.write( "0.03=1.645*sqrt(0.5*0.5/n)<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "0.0009=2.706*0.25/n<BR>\n" );
document.write( "multiply both sides by n and divide both by 0.0009<BR>\n" );
document.write( "n=2.706*0.25/0.0009<BR>\n" );
document.write( "=751.67=752<BR>\n" );
document.write( "-<BR>\n" );
document.write( "0.03=1.645*sqrt(0.6*0.4/n)<BR>\n" );
document.write( "n=2.706*0.24/0.0009<BR>\n" );
document.write( "=721.6 or 722 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );