<PRE><B>Question 634193</B>
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. 

                       Personality Type   
                 Occupation  E     I    Row Total  
Clergy (all denominations)  67    40      107  
M.D.                        67    95      162
Lawyer                      56    81      137
Column Total                190   216     406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

(a) What is the level of significance? = 5% 
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
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What are the degrees of freedom?
Ans: 2
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(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Ans: 0.000672
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Cheers,
Stan H.
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