Question
The following table shows the Myers-Briggs personality preferences for a random sample of 400 people in...
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.
Homework Answers
Answer #1
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 |
The expected counts in each of the cells have been computed using the formula:
.
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professions.
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95
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Lawyer
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