document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98323>Question 98323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An urban community would like to show that the incidence of breast cancer is higher than in a nearby rural area. If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71522 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=71522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An urban community would like to show that the incidence of breast cancer is higher than in a nearby rural area. If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community?<BR>\n" );
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document.write( "p-hat(urban) = 0.10<BR>\n" );
document.write( "p-hat(rural) = 1.15=0.066667<BR>\n" );
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document.write( "Ho:pu-pr=0 <BR>\n" );
document.write( "Ha:pu-pr >0 <BR>\n" );
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document.write( "Critical value = 1.645<BR>\n" );
document.write( "Test Statistic: z(0.10-0.6667) = 0.102396..<BR>\n" );
document.write( "p-value = 0.135144<BR>\n" );
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document.write( "Since p-value is greater than alpha=5%, reject Ho<BR>\n" );
document.write( "and conclude the test shows significant statistical<BR>\n" );
document.write( "evident that the urban breast cancer rate is higher<BR>\n" );
document.write( "than the rural breast cancer rate.<BR>\n" );
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document.write( "Note: I used the 2-PropZTest on a TI-83 to get the <BR>\n" );
document.write( "Test Statistic and p-value.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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