document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186745>Question 186745</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh>Statistical Techniques in Business and Economics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A survey of undergraduate students in the school of Businees at Northern University revealed the following regarding the gender and majors of the students:\r<BR>\n" );
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document.write( "                               Major<BR>\n" );
document.write( "Gender       Accounting          Management   Finance    Total  <BR>\n" );
document.write( "Male        100                   150           50        300<BR>\n" );
document.write( "Female      100                    50           50        200<BR>\n" );
document.write( "Total       200                   200          100        500\r<BR>\n" );
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document.write( "What is the probaility of selecting a female student?<BR>\n" );
document.write( "What is the probability of selcting a finance or accounting major?<BR>\n" );
document.write( "What is the probability of selecting a female or an accounting major?  Which rule of addition did u apply?<BR>\n" );
document.write( "Are gender and major independent?  Why?<BR>\n" );
document.write( "What is the probability of selecting an accounting major, given that the person selected is a male?<BR>\n" );
document.write( "Suppose two students are selected randomly to attend a lunch with the president of the University.  What is the probability that both of these selected are accounting majors? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140191 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=140191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey of undergraduate students in the school of Businees at Northern University revealed the following regarding the gender and majors of the students: <BR>\n" );
document.write( "Major<BR>\n" );
document.write( "Gender Accounting Management Finance Total <BR>\n" );
document.write( "Male...... 100...... 150....... 50... 300<BR>\n" );
document.write( "Female.... 100....... 50....... 50... 200<BR>\n" );
document.write( "Total..... 200...... 200...... 100... 500 <BR>\n" );
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document.write( "What is the probaility of selecting a female student? 200/500 = 2/5<BR>\n" );
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document.write( "What is the probability of selcting a finance or accounting major?(100+200)/500<BR>\n" );
document.write( "= 3/5<BR>\n" );
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document.write( "What is the probability of selecting a female or an accounting major? Which rule of addition did u apply? : (200+200-100)/500 = 3/5<BR>\n" );
document.write( "P(A or B) = P(A)+P(B)-P(A and B)<BR>\n" );
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document.write( "Are gender and major independent? Why?<BR>\n" );
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document.write( "Comment: You could run a Chi-Sq. test to see if the rows and columns are<BR>\n" );
document.write( "independent.  But I'm not sure you have studied that yet. If you have.<BR>\n" );
document.write( "Ho: row and column factors are independent<BR>\n" );
document.write( "Ha: they are dependent <BR>\n" );
document.write( "I ran a Chi-Sq test on the 2 x 3 matrix and got the following results:<BR>\n" );
document.write( "test statistic: Chi-Sq = 31.25<BR>\n" );
document.write( "p-value = 0.0000001637..<BR>\n" );
document.write( "df = 2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Conclusion: Reject Ho ; Gender and Major are not independent<BR>\n" );
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document.write( "What is the probability of selecting an accounting major, given that the person selected is a male? P(acc|male) + [P(acc and male)/P(male) = 1/3<BR>\n" );
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document.write( "Suppose two students are selected randomly to attend a lunch with the president of the University. What is the probability that both of these selected are accounting majors? 200C2/500C2 = 0.1595<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );