The following table shows the Myers-Briggs personality
preferences for a random sample of 409 people in the listed
professions.
Occupation
Extroverted
Introverted
Row Total
Clergy (all denominations)
65
43
108
M.D.
69
95
164
Lawyer
57
80
137
Column Total
191
218
409
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.10 level
of significance. Depending on the P-value, will you reject or fail
to reject the null hypothesis of independence?
Group of answer choices:
a. Since the P-value is less than α, we
reject the null hypothesis that the Myers-Briggs personality
preference and profession are independent. At 0.10 level of
significance, we conclude that the Myers-Briggs personality
preference and profession are not independent.
b. Since the P-value is less than α, we
fail to reject the null hypothesis that the Myers-Briggs
personality preference and profession are independent. At 0.10
level of significance, we conclude that the Myers-Briggs
personality preference and profession are not independent.
c. Since the P-value is greater than α, we
fail to reject the null hypothesis that the Myers-Briggs
personality preference and profession are independent. At 0.10
level of significance, we conclude that the Myers-Briggs
personality preference and profession are not independent.
d. Since the P-value is greater than α, we
fail to reject the null hypothesis that the Myers-Briggs
personality preference and profession are not independent. At
0.10 level of significance, we conclude that the Myers-Briggs
personality preference and profession are independent.
e. Since the P-value is greater than α, we
reject the null hypothesis that the Myers-Briggs personality
preference and profession are not independent. At 0.10 level
of significance, we conclude that the Myers-Briggs personality
preference and profession are independent.