Question

1. You want to know if owning cats is associated with having a job. Consider the following bivariate table that examines the relationship between owning cats and having a job.

	Own a Cat	Do not Own a Cat	Total
Have a Job	650	500	1150
Do not have a Job	200	150	350
Total	850	650	1500

a. Which measure of association is the most appropriate? Why?

b. Calculate the measure of association (the one you indicated in part a)

c. Interpret this measure of association for someone who is not familiar with statistics

Answer 1

a. The most appropriate measure of the association will be the Chi-square statistic for association which is given by

b. Chi-Square statistic = 0.061

Also, the tabulated value of Chi-square distribution at 5% level of significance with 1 degree of freedom is 3.841

c. Since Chi-square calculated(0.061) is less than 3.841, thus we conclude that owning a cat is not associated with having a job.

Thank you,