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 Row Total Occupation Clergy (all denominations) M.D. 64 43 107 64 98 162 Lawyer Column Total 58 79 137 186 220 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 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.)

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
Row Total
Occupation
Clergy (all denominations)
M.D.
64
43
107
64
98
162
Lawyer
Column Total
58
79
137
186
220
406
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
Transcribed Image Text: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 Row Total Occupation Clergy (all denominations) M.D. 64 43 107 64 98 162 Lawyer Column Total 58 79 137 186 220 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
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