Researchers Are Evaluating a Diagnostic Test for Legionella Infection That

Researchers are evaluating a diagnostic test for Legionella infection that relies on detection of bacterial antigens in the serum.  The test is compared to bacterial cultures, which are the gold standard for diagnosis.  A sample of 200 patients is selected.  Among 100 patients with culture-positive infection, the antigen test was positive in 90 patients.  Among 100 patients with negative cultures, the test was positive in 30 patients.  What was the positive predictive value of the new serum antigen test in this sample?

A) 30%
B) 70%
C) 75%
D) 88%
E) 90%

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