Module 11 Assignment: Test of Independence Using Technology

The purpose of this activity is to gain experience conducting a chi-square test of independence using technology.

Recall the report On the Front Line: The Work of First Responders in a Post-9/11 World. We will use data from this report to investigate the question: Are alcohol-related problems among New York firefighters associated with participation in the 9/11 rescue?

Here again are our observed data:

No risk for alcohol problems Moderate to severe risk for alcohol problems
Participated in 9/11 rescue 793 309 1102
Did not participate in 9/11 rescue 441 110 551
1234 419 1653

Question 1:

State the appropriate hypotheses for the chi-square test for independence in this case.

Now you will check whether the conditions for the chi-square test are met. In order to do this, you’ll need to first launch the actual research report and read the last paragraph on page iii of the introduction (starting with the “The study was fully funded…”)

Instructions

Click on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.

R | StatCrunch | Minitab | Excel | TI Calculator

Question 2:

Does the data meet the conditions for the chi-square test?

Instructions

Click on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.

R | StatCrunch | Minitab | Excel | TI Calculator

Question 3:

State your conclusion in context. Also explain what the P-value means as a conditional probability based on the null hypothesis.