document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907751>Question 907751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a test has been discovered for a disease that affects 2% of the population. In clinical trials, the test were found to have the following error rates:<BR>\n" );
document.write( "a. 8% of the people free of the disease had a positive reaction ('false alarm')<BR>\n" );
document.write( "b. 1% of the people having the disease had a negative reaction ('missed alarm')<BR>\n" );
document.write( "A mass testing program is being proposed for the whole population; anyone with a positive reaction will be suspected having the disease, and will be brought to the hospital for further observation.<BR>\n" );
document.write( "a. Of all the people with positive reaction, what proportion will actually be free of the disease?<BR>\n" );
document.write( "b. Of all the people with negative reaction, what proportion will actually be free of the disease?<BR>\n" );
document.write( "c. Of all the whole population, what proportion will be misdiagnosed one way or another?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550539 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Of all the people with positive reaction, what proportion will actually be free of the disease? 8%<BR>\n" );
document.write( " b. Of all the people with negative reaction, what proportion will actually be free of the disease? 99%<BR>\n" );
document.write( " c. Of all the whole population, what proportion will be misdiagnosed one way or another? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08%2A.02+%2B+.01%2A.02 ALIGN=MIDDLE  ALT=\".08%2A.02+%2B+.01%2A.02\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );