The following table shows the Myers-Briggs personality
preferences for a random sample of 400 people in the listed
professions.
Occupation | Extroverted | Introverted | Row Total |
Clergy (all denominations) | 60 | 44 | 104 |
M.D. | 70 | 91 | 161 |
Lawyer | 54 | 81 | 135 |
Column Total | 184 | 216 | 400 |
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Find (or estimate) the P-value of the sample test statistic.
The table of observed counts are given below.
Occupation | Extroverted | Introverted | Row Total |
Clergy | 60 | 44 | 104 |
M.D. | 70 | 91 | 161 |
Lawyer | 54 | 81 | 135 |
Column Total | 184 | 216 | 400 |
The table of expected counts is given below.
Occupation | Extroverted | Introverted | Row Total |
Clergy | 47.84 | 56.16 | 104 |
M.D. | 74.06 | 86.94 | 161 |
Lawyer | 62.1 | 72.9 | 135 |
Column Total | 184 | 216 | 400 |
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