1a. A thousand people were sampled and classified according to their smoking and alcohol consumption status....

1a. A thousand people were sampled and classified according to their smoking and alcohol consumption status. What type of test would you conduct to see if smoking and alcohol consumption are related?

a		Goodness of Fit
b		Test of Independence
c		Test of Homogeneity
d		Sobriety Test

1b. Suppose for the previous problem, a p-value of .002 was found. What would you conclude?

a		Smoking and Alcohol Consumption are not related
b		The proportion of smokers is the same in each alcohol consumption category
c		There is an association between Smoking and Alcohol Consumption
d		People should not drink when they smoke

Expert Solution

Question 1a.

Answer: b. Test of Independence

Explanation:

Here, we have to check the independence of the two categorical variables smoking and alcohol consumption status. For checking the independence of two categorical variables, we use the Chi square test of independence. So, answer is test of independence.

Question 1b.

Answer: c. There is an association between Smoking and Alcohol Consumption.

Explanation:

For this Chi square test of independence between two categorical variables, the null and alternative hypotheses are given as below:

Null hypothesis: H₀: There is no association between Smoking and Alcohol Consumption.

Alternative hypothesis: H_a: There is an association between Smoking and Alcohol Consumption.

The P-value for this test is given as 0.002 which is very less and it is less than significance level of 0.01, so we reject the null hypothesis.

There is sufficient evidence to conclude that there is an association between Smoking and Alcohol Consumption.

orchestra answered 1 year ago

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