Question

a sample of college students was given a survey that asked whether they lived on or off campus. the results are displayed below. based on the graph, is there an association between year in college and student housing? there is an association because the distribution of housing differs among the year groups. there is an association because the distribution of housing is the same among the year groups. there is no association because the distribution of housing differs among the year groups. there is no association because the distribution of housing is the same among the year groups.

Explanation:

An association between two variables (here, year in college and student housing) exists if the distribution of one variable (housing) differs among the groups of the other variable (year groups). In a segmented bar graph (like the one shown), if the segments (on - campus and off - campus) have different proportions across the bars (year groups), there is an association.

Answer:

There is an association because the distribution of housing differs among the year groups.