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Why a 75% correct test will be wrong 9 times as often as it is right

Probability is misleading and, as so often is the case, Tim Harford has explained it brilliantly.

He imagines a test for a disease that is 75% accurate, meaning it correctly identifies infected people 75% of the time, but incorrectly returns a false positive on uninfected people 25 . He tests 100 people, 4 of whom are infected. Continue Reading