Question

Look at the relationship between marital status (MSTAT) and college graduation using a chi-square test. What would you conclude?

1. Married people are more often college graduates than singles
2. College graduates are more often married than non-graduates
3. There is not a significant relationship between marital status and college graduation
4. Both “a” and “b” are true

Case Processing Summary
	Cases
	Valid		Missing		Total
	N	Percent	N	Percent	N	Percent
COLLEGE * Marital Status	400	100.0%	0	0.0%	400	100.0%

COLLEGE * Marital Status Crosstabulation
Count
		Marital Status		Total
		Single	Married
COLLEGE	.00	79	87	166
	1.00	84	150	234
Total		163	237	400

Chi-Square Tests
	Value	df	Asymptotic Significance (2-sided)	Exact Sig. (2-sided)	Exact Sig. (1-sided)
Pearson Chi-Square	5.499a	1	.019
Continuity Correctionb	5.026	1	.025
Likelihood Ratio	5.487	1	.019
Fisher's Exact Test				.023	.013
Linear-by-Linear Association	5.485	1	.019
N of Valid Cases	400

a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 67.65.

b. Computed only for a 2x2 table

Answer 1

Solution:

We are given, the relationship between marital status (MSTAT) and college graduation, using a chi-square test statistic result we have to conclude on the relationship between the variable.

From, Pearson Chi - square test, the 2-sided p-value is 0.023, which is less than 0.05, so there is a significant relationship between marital status and college graduation

Hence, Both “a” and “b” are true. i.e.

a) Married people are more often college graduates than singles

b) College graduates are more often married than non-graduates

So option d is correct.