document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62600>Question 62600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> supposed that a test for a disease correctly gives results for 97% of those having the disease and correctly gives negative results for 94% of those who dont haave the disease. SUppose also that the incidence of the disease is 1%. Of the people who test positive what percentage actually have the desease </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43562 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=43562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In this problem there are four possible scenarios\r<BR>\n" );
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document.write( "Scenario 1: A person has the disease and tests positive<BR>\n" );
document.write( "Scenario 2: A person has the disease and tests negative<BR>\n" );
document.write( "Scenario 3: A person doesn't have the disease and tests positive<BR>\n" );
document.write( "Scenario 4: A person doesn't have the disease and tests negative\r<BR>\n" );
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document.write( "Scenario 1: 97% of the 1% with the disease<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2897%2F100%29%2A%281%2F100%29+=+0.0097 ALIGN=MIDDLE  ALT=\"%2897%2F100%29%2A%281%2F100%29+=+0.0097\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the population.\r<BR>\n" );
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document.write( "Scenario 2: 3% of the 1% with the disease<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F100%29%2A%281%2F100%29+=+0.0003 ALIGN=MIDDLE  ALT=\"%283%2F100%29%2A%281%2F100%29+=+0.0003\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the population.\r<BR>\n" );
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document.write( "Scenario 3: 6% of the 99% without the disease<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F100%29%2A%2899%2F100%29+=+0.0594 ALIGN=MIDDLE  ALT=\"%286%2F100%29%2A%2899%2F100%29+=+0.0594\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the population.\r<BR>\n" );
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document.write( "Scenario 4: 94% of the 99% without the disease<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2894%2F100%29%2A%2899%2F100%29+=+0.9306 ALIGN=MIDDLE  ALT=\"%2894%2F100%29%2A%2899%2F100%29+=+0.9306\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the population.\r<BR>\n" );
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document.write( "The people in groups 1 and 3 will test positive ie 0.0097 + 0.0594 = 0.0691<BR>\n" );
document.write( "Of these 0.0097 actually have the disease so the percentage is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.0097%2F0.0691%29+%2A100+=+14%25 ALIGN=MIDDLE  ALT=\"%280.0097%2F0.0691%29+%2A100+=+14%25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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