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. 64 98 162 Lawyer 52 85 137 Column Total 177 229 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.     a) 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.)

Q: The following table shows the Myers-Briggs personality preferences for a random sample of 406 people…

A: a) It is needed to test whether the listed occupations and personality preferences are independent.

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Q: The following table shows the Myers-Briggs personality preferences for a random sample of 406 people…

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A: O E (O-E)^2 (O-E)^2/E 65 52.18227 164.2943 3.14847 73 79.00493 36.05914 0.456416 60 66.81281…