You may need to use the appropriate appendix table or technology to answer this question. 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 55 145 200 Heart problem 55 145 200 Cancer 95 505 600 Totals 205 795 1,000 We are interested in determining whether or not illness is independent of smoking. (a) State the null and alternative hypotheses to be tested. Ho: The number of illnesses is not independent of smoking. H: The number of illnesses is independent of smoking. Ho: Illness is not independent of smoking. Ha: Illness is independent of smoking. Ho: Illness is independent of smoking. H₂: Illness is not independent of smoking. Ho: The number of illnesses is independent of smoking. Ha: The number of illnesses is not independent of smoking. (b) Show the table of the expected frequencies. Illness Emphysema Heart problem Cancer Non-Smokers Smokers Totals 200 200 600 Totals 205 795 1,000 Determine the test statistic. (Round your answer to three decimal places.)

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