A particular paper included the accompanying data on the tar level of cigarettes
ID: 3360642 • Letter: A
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 = 0.05 level? (Round your answer to two decimal places.) Tar Level Frequency 0-7 109 8-14 346 15-21 555 22 181 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 that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories. You may need to use the appropriate table in Appendix A to answer this question.
Explanation / Answer
null hypothesis: Ho: proportion of male smoker lung cancer deaths is same for the four given tar level categories
alternate hypothesis:Ha: proportion of male smoker lung cancer deaths is not the same for the four given tar level categories
degree of freedom =number of categories-1=4-1 =3
applying chi square goodness of fit test:
from abvoe for test statistic =395.5088 and 3 degree of freedom; p < 0.001
as p value is less then 0.05 level ; tehrefore we reject null hypothesis
we have suffcient evidence to conclude that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the = 0.05 level
observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 0-7 0.250 109.000 297.75 119.65 8-14 0.250 346.000 297.75 7.82 15-21 0.250 555.000 297.75 222.26 >=22 0.250 181.000 297.75 45.78 total 1 1191 1191 395.5088Related Questions
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