The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Row Total Occupation Clergy (all denominations) M.D. 58 90 148 77 82 159 Lawyer Column Total 118 94 212 253 266 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.

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(a) What is the 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.)

What are the degrees of freedom?

The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling.
Personality Type
Row Total
Occupation
Clergy (all denominations)
M.D.
58
90
148
77
82
159
Lawyer
Column Total
118
94
212
253
266
519
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.
Transcribed Image Text:The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Row Total Occupation Clergy (all denominations) M.D. 58 90 148 77 82 159 Lawyer Column Total 118 94 212 253 266 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.
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