Question

A random sample of 400 students shows the following means of transportation to campus:

drive own auto                        public transportation               other

men                             150                              40                                 10

women                        115                              65                                30

Using SPSS, test whether the method of transportation is independent of method of sex. (α = .05)

Answer 1

A random sample of 400 students shows the following means of transportation to campus:

drive own auto                        public transportation               other

men                             150                              40                                 10

women                        115                              65                                30

Using SPSS, test whether the method of transportation is independent of method of sex. (α = .05)

  

Enter data in three columns, sex, transport and wt.

sex	transport	wt
1	1	150
1	2	40
1	3	10
2	1	115
2	2	65
2	3	30

Now Data---- weight cases -----weight cases by wt.

Now

Use Analyze----Descriptive statistics ------Crosstabs

Select sex in Rows and transport is columns

In the statistics submenu select chi square and continue and ok

sex * transport Crosstabulation
Count
		transport			Total
		drive own auto	public transportation	other
sex	men	150	40	10	200
	women	115	65	30	210
Total		265	105	40	410

Chi-Square Tests
	Value	df	Asymptotic Significance (2-sided)
Pearson Chi-Square	20.343a	2	.000
Likelihood Ratio	20.867	2	.000
Linear-by-Linear Association	20.119	1	.000
N of Valid Cases	410
a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 19.51.

Calculated chi square = 20.343, P=0.000 which is < 0.05 level of significance. Ho is rejected. We conclude that method of transportation is not independent of method of sex.