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QuizMultiple Choice

Interpreting Two-Way Tables

Question 2 • PA-Common Core Math 8 Q1

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.Customer Spending by Promotion Run CustomersSpendingMore than $30CustomersSpending$30 or Less$10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables?

Answer
A
The manager must check relative frequencies by row because there are more than two different promotions.
B
The manager must check relative frequencies by column because there are more than two different promotions.
C
The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D
The manager should check both relative frequencies by row and by column to look for an association.

Explanation

To check whether promotion type and spending category are associated, the manager should compare conditional relative frequencies. They can calculate the percentages within each promotion (row) and compare spending patterns, or calculate the percentages within each spending category (column) and compare promotion patterns. Either orientation can reveal an association; having more than two promotions does not require one particular orientation. Therefore, the best choice is to check both row and column relative frequencies.

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