document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799492>Question 799492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years<BR>\n" );
document.write( "ago. In a sample of 50 women, 48 women said that they had less leisure time than they<BR>\n" );
document.write( "had 10 years ago. What is the test statistic? At á = .05, is there a<BR>\n" );
document.write( "difference in the proportions between the men and women?<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 #482698 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=482698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago. <BR>\n" );
document.write( "In a sample of 50 women, 48 women said that they had less leisure time than they<BR>\n" );
document.write( "had 10 years ago. <BR>\n" );
document.write( "What is the test statistic? <BR>\n" );
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document.write( "p-hat men:: 44/50 = 0.22<BR>\n" );
document.write( "p-hat women:: 48/50 = 0.24<BR>\n" );
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document.write( "Test Stat: <BR>\n" );
document.write( "z(0.24-0.22) = (0.02)/sqrt[(0.22*0.78/50)+(0.24*0.76/50)] = 0.2377<BR>\n" );
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document.write( "At á = .05, is there a difference in the proportions between the men and women?<BR>\n" );
document.write( "p-value = 2*P(z > 0.2377) = 0.8121<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Ho: p(men)-p(women) = 0<BR>\n" );
document.write( "Ha: p(men)-p(women) # 0<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );