document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182639>Question 1182639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let n1 = 100, X1 = 50, n2 = 100, and X2 = 30.<BR>\n" );
document.write( "a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812742 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=812742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This would be a two sample proportion assuming that this is approximately normally distributed.<BR>\n" );
document.write( "Ho: p1=p2<BR>\n" );
document.write( "Ha: p1 NE p2<BR>\n" );
document.write( "alpha =0.05 p{reject Ho|Ho true}. Reject Ho if |z|>1.96<BR>\n" );
document.write( "z=(0.5-0.3)/sqrt(0.4.*0.6/100+(0.4*0.6)/100), using 40% as combined proportion (80/200)<BR>\n" );
document.write( "=0.2/sqrt(0.0048)<BR>\n" );
document.write( "=2.89<BR>\n" );
document.write( "reject Ho: The two proportions are significantly different, which is another way of saying they came from two different populations.<BR>\n" );
document.write( "p-value=0.004 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );