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The Table Below Describes the Smoking Habits of a Group

Question 79

Multiple Choice

The table below describes the smoking habits of a group of asthma sufferers. LightHeavyNonsmokersmokersmokerTotal Men 3378271490 Women 3458790522 Total 6821691611012\begin{array}{r|cccc} &&Light &Heavy &\\&Nonsmoker &smoker &smoker &Total \\\hline \text { Men } & 337 & 82 & 71 & 490 \\\text { Women } & 345 & 87 & 90 & 522 \\\text { Total } & 682 & 169 & 161 & 1012\end{array} Is heavy smoking independent of gender?


A) No,overall 15.9% of the group are heavy smokers ,but 14.5% of the men are heavy smokers.These are not equal.
B) No, P(male and heavy smoker) = 0.070;
P(female and heavy smoker) = 0.089.
These are not equal
C) Yes,because each of the joint probabilities is equal to the product of the marginal probabilities.
D) Yes,the percentage of women in each smoking category is the same as the percentage of men in each smoking category.
E) Yes,a heavy smoker cannot be both a man and a woman.

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