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.)

2 =  

Explanation / Answer

Here is the key sentence: "Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories"

Ho: Categories are the same
Ha: Categories are not the same

Let Expected = 1152/4 = 288 for each category [which would be true of they were "the same" ]

Run it through your chi-squared test with 4-1 = 3 d.f.

X^2 = 417.08

P-value = much much less than 0.05, so REJECT. The Categories are NOT THE SAME

Hope that helps

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