The completed two-way frequency table from Example 1 is shown below. It shows the results of a survey designed to help the Student Council choose a school-wide activity.
Consider the following events that apply to a random student who participated in the survey.

: The student is in the tenth grade.

: The student is in the twelfth grade.

: The student prefers a field trip.

: The student prefers a talent show.

Compare and . Are and independent?
Compare and . Are and independent?
Interpret the results.

Find the totals of all the categories.

Compare and .

Determine if and are independent.

Interpret the results for and .

Compare and .

Determine if and are independent.

Interpret the results for and .

This applet is provided by Walch Education as supplemental material for the UCSS Secondary Math II program. Visit www.walch.com for more information on our resources.