Example 2
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.
- 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 .