10
QuizMultiple Choice

Interpreting Two-Way Tables — Quiz

Question 10 • Mathematics 8

The given two-way table describes the quality of sweatshirts and T-shirts screen printed at a local store. Quality of Screen Printing by Item Type Perfect Flawed T-Shirts 90 6 Sweatshirts 40 10 Which 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, 90 of 96 are perfect, or 93.75%; for sweatshirts, 40 of 50 are perfect, or 80%. These row relative frequencies differ, so print quality is associated with item type. The best statement is that there is an association because the relative frequencies by row are different.

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