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The results of a recent study regarding smoking and three types of illness are shown in the following table.

21. The results of a recent study regarding smoking and three types of illness are shown in the following table.

Illness Non-Smokers Smokers Totals
Emphysema 20 60 80
Heart problem 70 80 150
Cancer 30 40 70
Totals 120 180 300

We are interested in determining whether or not illness is independent of smoking.

a. State the null and alternative hypotheses to be tested.



b. Show the contingency table of the expected frequencies.




c. Compute the test statistic.



d. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?




e. Determine the p-value and perform the test.



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