Question

Each respondent in the Current Population Survey was classified as employed, unemployed or outside the labor force. The results for men in California age 35-44 are cross-tabulated by marital status:

	Married	Widowed, divorced, separated	Never married	Total
Employed	670	113	114
Unemployed	63	10	20
Not in labor force	42	28	25
Total

We are interested in these 2 categorical variables (marital status and labor force status) for this one sample, specifically we want to know if these two variables are associated.

Approximate the p-value

	a.	.2<p<.3
	b.	The correct answer choice does not appear as one of the choices.
	c.	p< .005
	d.	.5<p<.75
	e.	.025<p<.05

Answer 1

Using Minitab software, (Stat -> Tables -> Chi square test for association), we get the following :

. Minitab - Untitled File Edit Data Calc Stat Graph Editor Tools Window Help Assistant CHOOSII ##03|fx - - QITO Session Chi-Square Test for Association: C1, Worksheet columns Rows: ci Columns: Worksheet columns widowed, divorced, Never Married separated married All Employed 670 640.71 897 113 124.84 114 131.45 Unemployed 10 12.94 2093 13.63 66.43 Not in labor force 95 42 67.86 25 13.92 28 13.22 151 All 775 159 1085 Cell Contents: Count Expected count Pearson Chi-Square = 43.791, DF = 4, P-Value = 0.000 Likelihood Ratio Chi-Square = 39.406, DF = 4, P-Value = 0.000 Worksheet 1 *** C1-T C3 C5 C4 Married Widowed, divorced, separated Never married 670 114 63 10 20 42 28 1 Employed 2 Unemployed 3 Not in labor force 113 25 pro... o X Current Worksheet: Worksheet 1

ans-> c) p < 0.005 since p-value = 0