Suppose a random sample of 1,220 U. S. adults were asked about their opinion regarding federal spending on infrastructure (i.e. roads and bridges). Respondents were asked whether federal spending on infrastructure was (a) too low, (b) adequate, or (c) too high. Respondents were classified by income level. If we wanted to test whether there was an association between the response to the question and income level, would this be a test of homogeneity or of independence?
A)Homogeneity
B)Independence

Question

Quizplus · Accepted Answer

This scenario describes a test of independence because it involves examining whether there is a relationship between two categorical variables: the opinion on federal spending on infrastructure and income level. A test of homogeneity would compare distributions across different populations or groups, but here we are interested in the relationship or association between two variables within the same population.

Suppose a Random Sample of 1,220 U