Question

The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.

Which statement best describes the relationship between the two variables?
There is an association because the relative frequencies by row are different.
There is an association because the relative frequencies by row are the same.
There is no association because the relative frequencies by row are different.
There is no association because the relative frequencies by row are the same.

Answer 1

A) There is an association because the relative frequencies by row are different.

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Answer 2

There is an association because the relative frequencies by row are different.

Explanation:

The relative frequencies by row are:

90 perfect t-shirts out of 90+6=96 t-shirts is:

90/96 = 0.9375

6 flawed t-shirts out of 96 t-shirts is:

6/96 = 0.0625

40 perfect sweatshirts out of 40+10=50 sweatshirts is:

40/50 = 0.8

10 flawed sweatshirts out of 50 sweatshirts is:

10/50 = 0.2

The relative frequencies by row are different; this means there is an association.