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.

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Mathematics

26 July, 06:31

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.

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Hull · Answer 1

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.