Question

In a study of male population for understanding the correlation between smoking and lung cancer, the data were collected and the cross-tabulated information and listed below.

	Had lung cancer	Did not have lung cancer
Smoked Cigarette	15	30
Did not smoke cig.	10	100

Data:

a)At 5% level of significance, test to see if there is significant correlation between smoking and lung cancer using the data. Use the p-value to draw your conclusion and attach software output.

Null hypothesis:

Alternative hypothesis:

Report p-value and use it to draw the conclusion:

[Paste R output here!]

b)Report the odds ratio of getting disease for those who were exposed to the smoking environment versus those who did not for male population. Do this problem by hand and report your answer in the following space, and also interpret the meaning of this number.

Answer 1

a)Null hypothesis: Smoking and Lung Cancer do not have any correlation

Alternative hypothesis: Smoking and Lung Cancer have strong correlation

_{Done the below analysis in R}

_b) the odds ratio of getting disease for those who were exposed to the smoking environment =15/(15+30) = 1/3=0.3333 (affected by cancer & have smoked / exposed to smoking)

versus those who did not for male population = 10/(10+100) = 10/110 = 0.0909 (affected by cancer & have smoked / not exposed to smoking)

The above analysis tell us that there is 33.33% probability of having lung cancer if a person is smoking or exposed to smoking as compared to just 9.09% probability of having lung cancer while not exposed to smoking.

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