Suppose the investigator finds that (1) if both the mother and father are current smokers, then the probability of their offspring having asthma is 0.18; (2) if the mother is a current smoker and the father is not, then the probability of their offspring having asthma is 0.14; (3) if the father is a current smoker and the mother is not, then the probability of their offspring having asthma is 0.06; (4) if neither parent is a current smoker, then the probability of their offspring having asthma is 0.03. What is the unconditional probability that the offspring will have asthma? Hint: use the total probability rule.

To validate this algorithm, all 1000 subjects will be ascertained by an infectious-disease (ID) fellow and a detailed investigation will be performed, including a chart review and documentation of antibiotic use. Assume the ID-fellow's determination is correct. Among the 100 test positive (CDC+) subjects, ID fellow confirms 80. Among the 900 test negative (CDC) subjects, ID fellow confirms 800. Thus, the total number of true positives (ID+) is 80 + (900 800) = 180 and the total number of true negatives (ID) is 800 + (100 80) = 820.

What is the PV+ of the CDC algorithm?

What is the PV of the CDC algorithm?

What is the sensitivity of the CDC algorithm?

What is the specificity of the CDC algorithm?