The following table shows the Myers-Briggs personality preferences for a random

Question

The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions (Atlas of Type Tables by Macdaid, McCaulley, and Kainz). Personality Preference Type Feeling 91 82 94 267 Thinking Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 148 159 212 519 57 118 252 Use the chi-square test to determine whether the listed occupations and personality preferences are independent at the 0.01 level of significance. State the null and alternate hypotheses. Ho H1: Myers-Briggs preference and profession are independent Find the value of the chi-square statistic for the sample x2 = 10.26 What are the degrees of freedom?

Explanation / Answer

H1: Myers-Briggs preference and profession are dependent.(related)

from the table 0.01 <p value <0.005

because p value is less than alpah ; you will reeject the null hypothesis

at the 0.01 level of significance ; there is sufficient evidence to conclude that occupation and personality preference are dependent

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