A particular paper included the accompanying data on the tar level of cigarettes

Question

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer. Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer. Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the = .05 level? (Use 2 decimal places.)

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer. Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer. Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the = .05 level? (Use 2 decimal places.) Tar Level Frequency 0-7 8-14 15-21 106 335 553 183 x2 P-value interval P

Explanation / Answer

Ans:

H0:proportion of male smoker lung deaths is same for the four given tar level categories.

H1:proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E 0-7 106 294.25 120.435 8-14 335 294.25 5.643 15-21 553 294.25 227.533 >=22 183 294.25 42.061 Total= 1177 1177 395.673

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