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) 61 46 107 M.D. 66 96 162 Lawyer 58 79 137 Column Total 185 221 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (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.)

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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) 61 46 107
M.D. 66 96 162
Lawyer 58 79 137
Column Total 185 221 406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.


(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.)
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