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...


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)6146107
M.D.7191162
Lawyer5483137

Column Total
186220406


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


(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?




(c) Find or estimate the
P-value of the sample test statistic. (Round your answer to three decimal places.)


Jun 07, 2022
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