Ask Question
25 November, 16:27

Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. What is the probability of an adult getting a NEG result and truly having tuberculosis?

+4
Answers (1)
  1. 25 November, 16:49
    0
    the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127

    Step-by-step explanation:

    S = the adult really has tuberculosis.

    S' = complement of S = the adult does not has tuberculosis.

    POS = the test gives a positive result

    P (S) = 0.05

    P (POS | S) = 0.746

    P (NEG | S') = 0.7653

    this is an intersection because the "and" word

    P (NEG ∩ S) = P (NEG| S) * P (S) = (1-P (POS | S)) * P (S) = (1-0.746) * 0.05=0.0127
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that for the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers