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?
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