Approximately 50% of the U. S. population has a genetic condition. Suppose to Determine the condition a rapid test is taken which has a specificity of 99.4% and a sensitivity of 100%.

23.1

Suppose a person from the U. S. population is chosen at random, given the test, and tests positive for the condition. What is the probability this person has it? What is the probability they do not have it?

23.2

Suppose a person is chosen from an “at-risk” population where the rate of the condition 10%. If that person tests positive for the condition, what is the probability they have the condition? 

23.3

Using your results from (a) and (b), give an argument for or against a policy of random testing of the population. (random : implying testing someone without regard for the individual being “at-risk” or not.)

Answer rating: 100% (QA)

SOLUTION 231 If a person from the US population is chosen at random and tests positive for the condition we can use Bayes theorem to calculate the pro... View the full answer