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 | 30 | 90 | 120 |
Heart problem | 70 | 210 | 280 |
Cancer | 100 | 300 | 400 |
Totals | 200 | 600 | 800 |
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 and determine the test statistic. |
c. | The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. |
d. | What do you conclude? |