Question

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 911 rescue	793	309	1102
Did Not participate in 911 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…”)

Question 2:

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

Question 3:

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

Answer 1

Moderate to No risk for alcohol problems |alcohol problems Total service risk for Observed 793 441 1234 1102 Participated Did not 309 articipated 110 551 1653 419 No risk for alcohol Moderate to service risk for alcohol problems roblems Participated 822.6667 279.3333 Did not participated 411.3333 139.6667 Observed Expected (O-E)/E 1.069827 3.150756 2.139654 6.3015112 12.66175 793 309 441 110 822.6667 279.3333 411.3333 139.666'7

Rows-2 Columns2 df-(c-r-1)-1 Questionl Test hypothesis Ho: alcohol-related problems among New York fire-fighters no associated with participation in the 9/11 rescue Hi: alcohol-related problems among New York fire-fighters associated with participation in the 9/11 rescue Question2 Test statistic : 12.662 p-value-0.0004 Question?3 Since p-value <0.05 hence reject the null hypothesis There is sufficient evidence to conclude that to conclude that alcohol-related problems among New York fire-fighters associated with participation in the 9/11 rescue