6
QuizMultiple Choice

Interpreting Two-Way Tables

Question 6 • PA-Common Core Math 8 Q1

The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.Quality of Screen Printing by Item Type PerfectFlawedT-Shirts906Sweatshirts4010Which statement best describes the relationship between the two variables?

Answer
A
There is an association because the relative frequencies by row are different.
B
There is an association because the relative frequencies by row are the same.
C
There is no association because the relative frequencies by row are different.
D
There is no association because the relative frequencies by row are the same.

Explanation

Compare the relative frequencies within each item type. For T-shirts, 6 of 96 are flawed, or about 6.3%; for sweatshirts, 10 of 50 are flawed, or 20%. These row relative frequencies differ, so printing quality is associated with item type. The correct choice is A: there is an association because the relative frequencies by row are different.

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