A 99% confidence interval for the difference 2 – 1 between the proportion of men
ID: 3437438 • Letter: A
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.