Question

One study has reported that the sensitivity of the mammogram as a screening test or detecting breast cancer is 0.88 while the specificity is 0.75.

a. what is the probability of a false negative test results

b. what is the probability of a false positive test result

Answer 1

a. the probability of a false negative test results
This corresponds to
P (false | negative) = P (false) x P (negative)
= (1 - P(true)) (1 - P(positive))
= (1 - 0.75)(1 - 0.88)
= 0.03

b. he probability of a false positive test result
= (1 - 0.75) (0.88)
= 0.22