8
QuizMultiple Choice

Interpreting Two-Way Tables

Question 8 • PA-Common Core Math 8 Q1

The two-way table below describes the attendance at a movie theater at various times of the day.Patrons at a Movie Theater on Thursday and Friday ThursdayFriday5 pm61827 pm1301589 pm7516211 pm4294Which statement best describes the relationship between the two variables?

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

Explanation

Compare the relative frequencies for each time within the Thursday and Friday columns. For example, 7 pm accounts for 130/308 ≈ 42% of Thursday attendance, but 158/496 ≈ 32% of Friday attendance. Since the column relative frequencies differ, time of day and day of the week are associated. The correct choice is A: there is an association because the relative frequencies by column are different.

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