document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195007>Question 1195007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A population proportion is .40. A simple random sample of size 200 will be taken and the<BR>\n" );
document.write( "sample proportion will be used to estimate the population proportion.<BR>\n" );
document.write( "A. Compute the standard error of the proportion<BR>\n" );
document.write( "B. What is the probability that the sample proportion will be within+.03 of the<BR>\n" );
document.write( "population proportion?<BR>\n" );
document.write( "C. What is the probability that the sample proportion will be within +.05 of the population<BR>\n" );
document.write( "proportion? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827360 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=827360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SE is sqrt(p*(1-p)/n)=sqrt(0.4*0.6/200)=0.0346<BR>\n" );
document.write( "to be within 0.03, the z value would have to be +/-0.8670, which is probability 0.6140<BR>\n" );
document.write( "to be within 0.05, the z value would have to be +/-1.445, which is probability  0.8515<BR>\n" );
document.write( "z*SE=the margin of error. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );