Answer to Question #57133 in Statistics and Probability for Bob

Question

The table below shows the results of a study on smoking and three illnesses. We are interested in determining if the proportions of smokers in the three categories are different from each other.

Emphysema- Heart Problem- Cancer- Total
Smoker 145 140 300 585
Non-smoker 60 100 230 390
Total 205 240 530 975

p1 = proportions of smokers with emphysema

p2 = proportions of smokers with heart problem

p3 = proportions of smokers with cancer

a. What represents the null and alternative hypotheses in this case?

b. The expected frequency of smokers with emphysema is?

c. The chi-square value is?

d. With α = 0.1, the critical X2 value is?

e. P1 – P2 is? P2 - P3 is?

f. Using α = 0.1, the conclusion of the pairwise comparison is?