Exploring Associations in Two-Way Tables

What is the main purpose of using relative frequencies in two-way tables?

• To calculate the median of the data

• To determine the total number of observations

• To find the average value of a dataset

• To identify if there is an association between categories

If the row relative frequencies for two categories are different, what does it suggest?

• The categories are identical

• There is an association between the categories

• There is no association between the categories

• The data is incomplete

In the given example, what percentage of males prefer tennis?

• 25%

• 55%

• 75%

• 45%

What does it indicate if the column relative frequencies for two categories are the same?

• The categories are dependent

• The data is skewed

• There is no association between the categories

• There is an association between the categories

In Example 1, what is the row relative frequency for people under 18 getting their news from the internet?

• 0.26

• 0.78

• 0.22

• 0.74

Based on Example 1, if a person gets their news from the internet, they are more likely to be:

• Over 18

• A female

• Under 18

• A male

In Example 1, what is the row relative frequency for people over 18 getting their news from the internet?

• 0.26

• 0.74

• 0.78

• 0.22

In Example 2, what is the column relative frequency for 7th graders preferring math?

• 0.15

• 0.85

• 0.37

• 0.63

Based on Example 2, if a 7th grader is chosen at random, they are equally likely to prefer:

• Math or Science

• Math or Language Arts

• Science or Language Arts

• Math or History

In Example 2, what does the data suggest about the association between grade level and subject preference?

• The association is weak

• The data is inconclusive

• There is no association

• There is a strong association