The following table shows the MyersBriggs personality prefer

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.

Solution

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.