Conditional Probability

AP Statistics· difficulty 4/5

A test is 95% accurate, 1% of population has a disease. P(disease | positive test) is

  • A

    Much smaller than 95% (low base rate)

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  • B

    100%

  • C

    About 95%

  • D

    0%

Explanation

Bayes' rule with base rate 1% — even a 95% test yields modest posterior.

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