document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191809>Question 1191809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.\r<BR>\n" );
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document.write( "Based on a sample of 20 men, 45% owned cats<BR>\n" );
document.write( "Based on a sample of 20 women, 50% owned cats\r<BR>\n" );
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document.write( "Test statistic is=<BR>\n" );
document.write( "P-value is=<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823649 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=823649\">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( "test stat is 2 sample proportion <BR>\n" );
document.write( "critical value is |z|>1.645<BR>\n" );
document.write( "p total is 19/40=0.475<BR>\n" );
document.write( "calculation z=(p1-p2)/sqrt  pt(1-pt) (1/n1)+1/n2)}<BR>\n" );
document.write( "=-0.05/sqrt {0.475*0.525{2/20)]<BR>\n" );
document.write( "=-0.3166<BR>\n" );
document.write( "Fail to reject Ho p-value is 0.76, double the probability of the z-value because 2-way test.<BR>\n" );
document.write( "This is greater than 0.10.\r<BR>\n" );
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