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 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. Represent the "76. 53%" using notation. Group of answer choices.

Answer 1

The correct notation based on the given values for the success rate of testing for those without Tuberculosis is P(POSc| Sc)

What does the 76.53% stand for?

• It means that the test gives a negative result.
• It means that the adult does not have Tuberculosis.

POS would therefore not apply as the result is negative. POSc will then apply for a negative result.

S will not apply as the adult does not have Tuberculosis. Sc on the other hand shows this.

The proper notation would therefore be P(POSc | Sc).

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