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.)

Tar Level /Frequency

0-7 /140

8-14 /340

15-21 /541

22/ 146

2 = ______

P-value interval

p < 0.001

0.001 p < 0.01

0.01 p < 0.05

0.05 p < 0.10 p 0.10

There is convincing/ not convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories

Explanation / Answer

H0: There is convincing evidence that the proportion of male smoker lung cancer deaths is the same for the four given tar level categories

H1: There is convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories

Num Categories: 4
Degrees of freedom: 3
Expected Freq: 291.75

Test Statistic, X^2: 372.6641
Critical X^2: 7.814736
P-Value: 0.0000

Correct Answer: p < 0.001

Here P value < alpha 0.05, we reject H0

Thus we conclude that, there is convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories

Observed Talevel Freq (Oi) Ei (Oi-Ei)^2/Ei 0-7 140 291.75 78.93080548 8-14 340 291.75 7.979648672 15-21 541 291.75 212.9410883 22 146 291.75 72.81255356 Total: 1167 372.664096

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