3
QuizMultiple Choice

Unit Test — Unit test

Question 3 • (AG Q4) Math 8: 25-26 (JTurner)

The two-way table below describes the practice habits of members of the school band and choir.Practice Habits of School Musicians Less than30 Minutes per DayAt Least30 Minutes per DayBand Students3826Choir Students1812Which 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 similar.
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 similar.

Explanation

Compare the relative frequencies within each row. For band students, 38 of 64 practice less than 30 minutes (about 59%) and 26 of 64 practice at least 30 minutes (about 41%). For choir students, the corresponding percentages are 18 of 30 (60%) and 12 of 30 (40%). These proportions are very similar, so there is no association; the best statement is “There is no association because the relative frequencies by row are similar.”

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