Question

Suppose a test for diagnosing a certain serious disease is successful in detecting the disease in 95% of all persons infected, but that it incorrectly diagnoses 4% of all healthy people as having the serious disease. if it is known that 2% of the population has the serious disease, find the probability that a person selected at random has the serious disease if the test indicates that he or she does

Answer 1

To do this multiply 2% by 4% (or .02*.04). This equals .008 or .8% of people will have an error with this test