The sensitivity of a screening test is .95, and its specificity is .85. The rate of the disease for which the test is used is .002. What is the predictive value positive of the test?

Exercises for Use with Large Data Sets Available on the Following Website:

www.wiley.com/college/daniel Refer to the random sample of 800 subjects from the North Carolina birth registry we investigated in the Chapter 2 review exercises.

Create a table that cross-tabulates the counts of mothers in the classifications of whether the baby was premature or not (PREMIE) and whether the mother admitted to smoking during pregnancy

(SMOKE) or not.

(a) Find the probability that a mother in this sample admitted to smoking.

(b) Find the probability that a mother in this sample had a premature baby.

(c) Find the probability that a mother in the sample had a premature baby given that the mother admitted to smoking.

(d) Find the probability that a mother in the sample had a premature baby given that the mother did not admit to smoking.

(e) Find the probability that a mother in the sample had a premature baby or that the mother did not admit to smoking.

Create a table that cross-tabulates the counts of each mother’s marital status (MARITAL) and whether she had a low birth weight baby (LOW).

(a) Find the probability a mother selected at random in this sample had a low birth weight baby.

(b) Find the probability a mother selected at random in this sample was married.

(c) Find the probability a mother selected at random in this sample had a low birth weight child given that she was married.

(d) Find the probability a mother selected at random in this sample had a low birth weight child given that she was not married.

(e) Find the probability a mother selected at random in this sample had a low birth weight child and the mother was married.