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The following table shows the results of a study on smoking and three illnesses. We are interested in determining if the proportions smokers in the

The following table shows the results of a study on smoking and three illnesses.

We are interested in

determining if the proportions smokers in the three categories are different from each other.

Emphysema

Heart problem

Cancer

Total

Smoker

150

70

100

320

Non-smoker

50

130

500

680

Total

200

200

600

1000

a.

Provide the null and the alternative hypotheses.

b.

Determine the expected frequencies.

c.

Compute the sample proportions.

d.

Compute the critical values (CV

ij

).

e.

Give your conclusions on pairwise comparisons by providing numerical reasoning

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