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 50 70 Heart problem 70 80 150 Cancer 40 40 80 Totals 130 170 300 ​​ We are interested in determining whether or not illness is independent of smoking. a.   b.   c.   d. The null hypothesis is to be tested at the 5% level. Determine the critical value for this test. What do you conclude in the context of this problem? e. Determine the p-value and perform the test. Make a conclusion in the context of this problem.

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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

Totals

Emphysema

20

50

70

Heart problem

70

80

150

Cancer

40

40

80

Totals

130

170

300

​​

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

a.  
b.  
c.  
d. The null hypothesis is to be tested at the 5% level. Determine the critical value for this test. What do you conclude in the context of this problem?
e. Determine the p-value and perform the test. Make a conclusion in the context of this problem.
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