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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.

Occupation (all denominations) 59 48 107 

M.D. 66 96 162 

Lawyer 55 82 137 

Column Total 180 226 406

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

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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