The results of a recent study regarding smoking and three types of illness are shown in the following table. Illness Non-Smokers Smokers Total Emphysema 50 150 200 Heart problem 50 150 200 Cancer 100 500 600 Totals 200 800 1000 (1) If we are interested in determining whether or not illness is independent of smoking.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The results of a recent study regarding smoking and three types of illness
are shown in the following table.
Illness
Non-Smokers
Smokers
Total
Emphysema
50
150
200
Heart problem
50
150
200
Cancer
100
500
600
Totals
200
800
1000
(1) If we are interested in determining whether or not illness is
independent of smoking.
1. State the null and alternative hypotheses to be tested.
2. Show the contingency table of the expected frequencies and determine
the test statistic.
3. Use critical value approach to test for determining if illness is
independent of smoking (a=0.05). What do you conclude? (Give test
statistic, rejection rule, and conclusion)
(2) If we are interested in determining if the proportions of smokers in the
three categories are equal.
1. State the null and the alternative hypotheses to be tested.
2. Use p-value approach to test for determining if the proportions of
smokers in the three categories are equal (a=0.05). What do you conclude?
(Give test statistic, rejection rule, and conclusion)
Transcribed Image Text:The results of a recent study regarding smoking and three types of illness are shown in the following table. Illness Non-Smokers Smokers Total Emphysema 50 150 200 Heart problem 50 150 200 Cancer 100 500 600 Totals 200 800 1000 (1) If we are interested in determining whether or not illness is independent of smoking. 1. State the null and alternative hypotheses to be tested. 2. Show the contingency table of the expected frequencies and determine the test statistic. 3. Use critical value approach to test for determining if illness is independent of smoking (a=0.05). What do you conclude? (Give test statistic, rejection rule, and conclusion) (2) If we are interested in determining if the proportions of smokers in the three categories are equal. 1. State the null and the alternative hypotheses to be tested. 2. Use p-value approach to test for determining if the proportions of smokers in the three categories are equal (a=0.05). What do you conclude? (Give test statistic, rejection rule, and conclusion)
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Follow-up Question
(2) If we are interested in determining if the proportions of smokers in the
three categories are equal.
1. State the null and the alternative hypotheses to be tested.
2. Use p-value approach to test for determining if the proportions of
smokers in the three categories are equal (a=0.05). What do you conclude?
(Give test statistic, rejection rule, and conclusion)
Transcribed Image Text:(2) If we are interested in determining if the proportions of smokers in the three categories are equal. 1. State the null and the alternative hypotheses to be tested. 2. Use p-value approach to test for determining if the proportions of smokers in the three categories are equal (a=0.05). What do you conclude? (Give test statistic, rejection rule, and conclusion)
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