document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224444>Question 224444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The wiscons police department had a total of 1200 officers eligible for promotion this year, 960 were male, the remainder were female. A total of 325 were actually promoted. Of those that were promoted, 204 were women. Construct a joint probability table, and answer using it and probibility notation, describe and answer the following\r<BR>\n" );
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document.write( "Given that an officer got promoted, what is the probability that the officer was a woman?\r<BR>\n" );
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document.write( "What was the probability of any eligible offer getting promoted this year?\r<BR>\n" );
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document.write( "Did male officers have a promotion advantage over female officers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167686 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=167686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The wiscons police department had a total of 1200 officers eligible for promotion this year, 960 were male, the remainder were female. A total of 325 were actually promoted. Of those that were promoted, 204 were women. <BR>\n" );
document.write( "Construct a joint probability table, and answer using it and probability notation, describe and answer the following:<BR>\n" );
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document.write( "............eligible......promoted<BR>\n" );
document.write( "Male..........960...........121.....1081<BR>\n" );
document.write( "Female........240...........204......444<BR>\n" );
document.write( ".............1200...........325.....1525\r<BR>\n" );
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document.write( "Given that an officer got promoted, what is the probability that the officer was a woman? 204/325<BR>\n" );
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document.write( "What was the probability of any eligible officer getting promoted this year?<BR>\n" );
document.write( "Ans: 325/1200<BR>\n" );
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document.write( "Did male officers have a promotion advantage over female officers?<BR>\n" );
document.write( "Ho: row and column categories are independent<BR>\n" );
document.write( "Ha: they are not independent<BR>\n" );
document.write( "I ran a Chi-Sq test and got the following:<BR>\n" );
document.write( "test statistic: Chi-Sq = 226.67<BR>\n" );
document.write( "p-value: 3.1783x10^(-51)<BR>\n" );
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document.write( "Since the p-value is < 1% reject Ho at the 1% significance level.<BR>\n" );
document.write( "Male and Female eligibles were not promoted proportionately.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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