A 99% confidence interval for the difference 2 – 1 between the proportion of men

Question

A 99% confidence interval for the difference 2 – 1 between the proportion of men (2) and women (1) in California who are alcoholics equals (0.02, 0.09). What is the correct interpretation?

A. We are 99% confident that the proportion of alcoholics is between 0.02 and 0.09.

B. We are 99% confident that the proportion of men in California who are alcoholics is between 0.02 and 0.09 larger than the proportion of women in California who are.

C.We are 99% confident that a minority of California residents are alcoholics.

D. Since the confidence interval does not contain 0, it is impossible that 2= 1.

A. We are 99% confident that the proportion of alcoholics is between 0.02 and 0.09.

B. We are 99% confident that the proportion of men in California who are alcoholics is between 0.02 and 0.09 larger than the proportion of women in California who are.

C.We are 99% confident that a minority of California residents are alcoholics.

D. Since the confidence interval does not contain 0, it is impossible that 2= 1.

Explanation / Answer

By the defnition of the confidence interval the correct interpretation is

B.) We are 99% confident that the proportion of men in California who are alcoholics is between 0.02 and 0.09 larger than the proportion of women in California who are.

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