Question

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.

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: .