document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182199>Question 1182199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample survey of a Brgy. Captain candidate in Barangay Sta. Cruz shows that<BR>\n" );
document.write( "90 of 210 male voters dislike candidate W and 129 out of 240 female voters dislike the same candidate. Determine whether the difference between the two sample proportions 90/210 and 129/240 is significant or not  at 5% level of significance.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "P1=          n1=         q1=<BR>\n" );
document.write( "P2=          n2=         q2=<BR>\n" );
document.write( "1. H0:<BR>\n" );
document.write( "   H1:<BR>\n" );
document.write( "2. Level of significance.<BR>\n" );
document.write( "3. Test:<BR>\n" );
document.write( "4. Critical Region:<BR>\n" );
document.write( "5. Solution<BR>\n" );
document.write( "   z= p1-p2/√p1q1/n1+p2q1/n2<BR>\n" );
document.write( "6. Decision:<BR>\n" );
document.write( "7. Conclusion:<BR>\n" );
document.write( "(Thank you very much if you help me with this problem I'm stuck with it.) <3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812231 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=812231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: p1=p2<BR>\n" );
document.write( "Ha=p1 ne p2<BR>\n" );
document.write( "alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a z<BR>\n" );
document.write( "critical value |z|> 1.96<BR>\n" );
document.write( "calculation z=(p1-p2)/sqrt (p*(1-p*))/n1+(p*(1-p))/n2))<BR>\n" );
document.write( "90/210=0.429=p1<BR>\n" );
document.write( "129/240=0.5375=p2<BR>\n" );
document.write( "combined proportion is 219/450=0.486667 for p* so (1-p*)=0.513333, and their product is 0.2498<BR>\n" );
document.write( "numerator is -0.1089<BR>\n" );
document.write( "denominator is sqrt(0.2498*(1/210)+(1/240))=0.04722<BR>\n" );
document.write( "numerator/denominator=-2.306<BR>\n" );
document.write( "reject Ho; there is a difference between the two proportions, and p1 is the smaller. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );