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MMLU / A test for heartworm in dogs shows a positive result in 96% of dogs that…

Problem

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question

A test for heartworm in dogs shows a positive result in 96% of dogs that actually have heartworm, and shows a negative result in 98% of dogs with no heartworm. If heartworm actually occurs in 10% of dogs, what is the probability that a randomly selected dog that tested positive for heartworm actually has heartworm?

choices

  1. 11%
  2. 18%
  3. 84%
  4. 88%

subject

high_school_statistics

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