The following table shows the Myers-Briggs personality preferences for a random
ID: 3436479 • Letter: T
Question
The following table shows the Myers-Briggs personality preferences for a random sample of 399 people in the listed professions.
Occupation
Extroverted
Introverted
Row Total
Clergy (all denominations)
64
44
108
M.D.
69
90
159
Lawyer
52
80
132
Column Total
185
214
399
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Given P-Value < 0.005, will you reject or fail to reject the null hypothesis of independence?
A)
Since the P-value is greater than a, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
B)
Since the P-value is greater than a, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
C)
Since the P-value is less than a, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
D)
Since the P-value is greater than a, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
E)
None of these.
Occupation
Extroverted
Introverted
Row Total
Clergy (all denominations)
64
44
108
M.D.
69
90
159
Lawyer
52
80
132
Column Total
185
214
399
Explanation / Answer
Answer: C. Since the P-value is less than a, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
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