7
QuizMultiple Choice

Data Analysis and Displays — Test

Question 7 • Mathematics 8

The given two-way table describes the practice habits of members of the school band and choir. Practice Habits of School Musicians Less than 30 Minutes per Day At Least 30 Minutes per Day Band Students 38 26 Choir Students 18 12 Which statement best describes the relationship between the two variables?

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

Explanation

Compare the row relative frequencies for students who practice at least 30 minutes per day. For band students, 26 out of 64 practice that long, or about 40.6%. For choir students, 12 out of 30 do, or 40%. These proportions are very similar, so the table suggests no association between group and practice time; choice A is correct.

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