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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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.
Ha: 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.
Ha
Ho
: Illness is not independent of smoking.
The number of illnesses is independent of smoking.
H: The number of illnesses is not independent of smoking.
(b) Show the table of the expected frequencies.
Illness
Emphysema
Heart problem
Cancer
Totals
Non-Smokers
205
Smokers Totals
200
200
600
795
1,000
Determine the test statistic. (Round your answer to three decimal places.)
Transcribed Image Text: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. Ha: 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. Ha Ho : Illness is not independent of smoking. The number of illnesses is independent of smoking. H: The number of illnesses is not independent of smoking. (b) Show the table of the expected frequencies. Illness Emphysema Heart problem Cancer Totals Non-Smokers 205 Smokers Totals 200 200 600 795 1,000 Determine the test statistic. (Round your answer to three decimal places.)
(c) The null hypothesis is to be tested at the 0.01 significance level. Determine the p-value for this test. (Round your answer to four decimal places.)
(d) What do you conclude?
Reject Ho. We conclude that illness is not independent of smoking.
Do not reject Ho. We cannot conclude that illness is not independent of smoking.
Reject Ho. We cannot conclude that illness is not independent of smoking.
Do not reject Ho. We conclude that illness is not independent of smoking.
Transcribed Image Text:(c) The null hypothesis is to be tested at the 0.01 significance level. Determine the p-value for this test. (Round your answer to four decimal places.) (d) What do you conclude? Reject Ho. We conclude that illness is not independent of smoking. Do not reject Ho. We cannot conclude that illness is not independent of smoking. Reject Ho. We cannot conclude that illness is not independent of smoking. Do not reject Ho. We conclude that illness is not independent of smoking.
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