Question

6) Residence ~ A survey by the National institute of health asked a random sample of young adults aged 19-25 years the following question: Where do you stay most often currently? The results of the survey are summarized in the table below.

Residence type	Gender
	Female	Male
Parents' home	923	986
Another person’s place	144	132
Own place	1294	1129
Group quarters	127	119

If we want to assess whether there is a relationship between residence type and gender, then which one of the following is the appropriate hypothesis test?

Question 6 options:

	t-test for a sample mean
	Z-test for the difference of two population proportions
	χ2 test of independence
	χ2 goodness of fit
	Z-test for one population proportion

Answer 1

Solution :

Given that ,

To assess whether there is a relationship between residence type and gender is :

This is the chi square test of independence .

test of independence