document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634193>Question 634193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. \r<BR>\n" );
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document.write( "                       Personality Type   <BR>\n" );
document.write( "                 Occupation  EI  Row    Total  <BR>\n" );
document.write( "Clergy (all denominations)  67    40      107  <BR>\n" );
document.write( "M.D.                        67    95      162<BR>\n" );
document.write( "Lawyer                      56    81      137<BR>\n" );
document.write( "Column Total                190   216     406\r<BR>\n" );
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document.write( "Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.\r<BR>\n" );
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document.write( "(a) What is the level of significance? = ________\r<BR>\n" );
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document.write( "(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) = ________\r<BR>\n" );
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document.write( "What are the degrees of freedom?\r<BR>\n" );
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document.write( "(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)\r<BR>\n" );
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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 #399435 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=399435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. \r<BR>\n" );
document.write( "\n" );
document.write( "                       Personality Type   <BR>\n" );
document.write( "                 Occupation  E     I    Row Total  <BR>\n" );
document.write( "Clergy (all denominations)  67    40      107  <BR>\n" );
document.write( "M.D.                        67    95      162<BR>\n" );
document.write( "Lawyer                      56    81      137<BR>\n" );
document.write( "Column Total                190   216     406\r<BR>\n" );
document.write( "\n" );
document.write( "Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) What is the level of significance? = 5% <BR>\n" );
document.write( "Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places. ChiSq  =  14.610<BR>\n" );
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document.write( "What are the degrees of freedom?<BR>\n" );
document.write( "Ans: 2<BR>\n" );
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document.write( "(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)<BR>\n" );
document.write( "Ans: 0.000672<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "  </SPAN>\n" );
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