document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871878>Question 871878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fashion magazine claims that females like to “shop” more than males. In interviews with 1000 <BR>\n" );
document.write( "randomly selected females, the magazine found that 700 like to “shop”. Also, it was found that 520 out of 800 <BR>\n" );
document.write( "randomly selected males like to “shop”. Test the magazines claim by a 0.02 level of significance. State the <BR>\n" );
document.write( "practical conclusion that refers to the information in this question.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525777 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=525777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fashion magazine claims that females like to “shop” more than males. In interviews with 1000 randomly selected females, the magazine found that 700 like to “shop”. <BR>\n" );
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document.write( "Also, it was found that 520 out of 800 randomly selected males like to “shop”.<BR>\n" );
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document.write( "Test the magazines claim by a 0.02 level of significance. <BR>\n" );
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document.write( "Ho: p(f)-p(m) <= 0<BR>\n" );
document.write( "Ha: p(f)-p(m) > 0 (claim)<BR>\n" );
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document.write( "t[(700/1000)-(520/800)] = (0.7-0.65)/sqrt[[(0.7*0.3/1000) + (0.65*0.35/800)]<BR>\n" );
document.write( "= 2.2488<BR>\n" );
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document.write( "P-value = P(t > 2.2488 when df = 1800-2)) = tcdf(2.2488,100,1798) = 0.0159<BR>\n" );
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document.write( "Since the p-value is less than 2%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
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document.write( "State the practical conclusion that refers to the information in this question.<BR>\n" );
document.write( "Women like to shop more than men.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );