document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348285>Question 348285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level.<BR>\n" );
document.write( "Pension Plan<BR>\n" );
document.write( "Job Class Plan A Plan B Plan C<BR>\n" );
document.write( "supervisor 10 13 29<BR>\n" );
document.write( "clerical 19 80 19<BR>\n" );
document.write( "labor 81 57 22 <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 #248987 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=248987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level.<BR>\n" );
document.write( "Pension Plan<BR>\n" );
document.write( "Job Class Plan A Plan B Plan C<BR>\n" );
document.write( "supervisor 10 13 29<BR>\n" );
document.write( "clerical 19 80 19<BR>\n" );
document.write( "labor 81 57 22 <BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Ho: row and column factors are independent<BR>\n" );
document.write( "Ha: they are dependent<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "I ran a Chi-Sq test on the the data and got:<BR>\n" );
document.write( "test statistic : Chi-Sq = 84.04<BR>\n" );
document.write( "p-value = 2.42x10^(-17)<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Conclusion: Since the p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );