document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112713>Question 1112713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A test is available to diagnose a disease. If a person has the disease, the probability that the test will produce a positive signal is 0.98. If a person does not have the disease, the probability that the test will produce a positive signal is 0.02. Assume that the proportion of people in the community who have the disease is 0.05<BR>\n" );
document.write( "Given that the test is negative, what is the probability that the person does not have the disease?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727883 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Out of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2210%2C000%22 ALIGN=MIDDLE  ALT=\"%2210%2C000%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2A%2210%2C000%22=500 ALIGN=MIDDLE  ALT=\"0.05%2A%2210%2C000%22=500\"   DISABLED_style= \"max-width:90%; height:auto;\" > have the disease.<BR>\n" );
document.write( "Of those, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.98%2A500 ALIGN=MIDDLE  ALT=\"0.98%2A500\"   DISABLED_style= \"max-width:90%; height:auto;\" > test positive, and start looking for treatment.<BR>\n" );
document.write( "The other <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-0.98%29%2A500=0.02%2A500=10 ALIGN=MIDDLE  ALT=\"%281-0.98%29%2A500=0.02%2A500=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > test negative,<BR>\n" );
document.write( "and do not think they have the disease, but they do.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Out of the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2210%2C000%22 ALIGN=MIDDLE  ALT=\"%2210%2C000%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people, another <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2210%2C000%22-500=%229%2C500%22 ALIGN=MIDDLE  ALT=\"%2210%2C000%22-500=%229%2C500%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people do not have the disease.<BR>\n" );
document.write( "However, among them, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.02%2A%229%2C500%22=190 ALIGN=MIDDLE  ALT=\"0.02%2A%229%2C500%22=190\"   DISABLED_style= \"max-width:90%; height:auto;\" > test positive, and worry unnecessarily.<BR>\n" );
document.write( "The remaining <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%229%2C500%22-190=%229%2C310%22 ALIGN=MIDDLE  ALT=\"%229%2C500%22-190=%229%2C310%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people without the disease test negative.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Out of the whole <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2210%2C000%22 ALIGN=MIDDLE  ALT=\"%2210%2C000%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people,<BR>\n" );
document.write( "there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B%229%2C310%22=%229%2C320%22 ALIGN=MIDDLE  ALT=\"10%2B%229%2C310%22=%229%2C320%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > people who have tested negative.<BR>\n" );
document.write( "Out of those who tested negative, the fraction without the disease is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%229%2C310%22%2F%229%2C320%22=about ALIGN=MIDDLE  ALT=\"%229%2C310%22%2F%229%2C320%22=about\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.9989%29 ALIGN=MIDDLE  ALT=\"highlight%280.9989%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is the probability that a person who tests negative does not have the disease. </SPAN>\n" );
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