A test to detect an infection gives a positive result 98% of the time if a person is infected. It is 97% accurate for people who

Question

Molodets [167]

2 years ago

6

A test to detect an infection gives a positive result 98% of the time if a person is infected. It is 97% accurate for people who

are not infected. % of results will be false negatives, and % of results will be false positives.

Mathematics

1 answer:

Rama09 [41] · Answer 1 · 2022-07-26T08:30:54+03:00

If the test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.

If the test is 97% accurate for non-infected people, that means that it gives a negative result 97% of the time. So a positive result will be given 3% of the time for non-infected people, which is a false positive.