A 32-year-old man comes to a public health clinic for a sexually transmitted infection screening. The physician considers using a newly implemented point-of-care serologic assay for *Treponema pallidum*. To evaluate the reliability of a positive result, the physician reviews a recent local validation study involving 500 high-risk patients.
In this study, 150 patients tested positive using the new point-of-care assay. Subsequent gold-standard confirmatory testing revealed that 135 of these 150 patients were truly infected. The remaining 350 patients tested negative with the new assay, and 315 of them were confirmed to be truly free of the disease by the gold standard.
Based on these study data, what is the positive predictive value (in percentage) of the new point-of-care assay?
Answer: 90 %