Statistics: Quarter Four

Celebration of Knowledge

1. 2009, Free Response, #1

A simple random sample of 100 high school seniors was selected from a large school district. The gender of each student was recorded, and each student was asked the following questions.

1. Have you ever had a part-time job?

2. If you answered yes to the previous question, was your part-time job in the summer only?

The results are summarized in the following table,

Use this information to answer the following questions.

1. Construct a graphical display that represents the association between gender and job experience for the students in the sample.

2. Write a few sentences summarizing what the display in part (a) reveals about the association between gender and job experience for the students in the sample.

3. Which test of significance should be used to test if there is an association between gender and job experience for the population of high school seniors in the district? State the null and alternative hypotheses for the test, but do not perform the test.