The prostate surface antigen test (PSA) is commonly used to detect early signs and symptoms of prostate cancer in men. However, the PSA test has come under quite a bit of public scrutiny for its relatively high false positive rate around 25%. Assume the prevalence of prostate cancer in men above the age over 65 is 47%. Investigators looking at the performance of the PSA test sample a group of 10,000 men over the age of 65, and come up with 5,500 positive results.

1. What percent of men taking the test with prostate cancer will get a positive result?
2. What is the predictive value positive for the PSA test in this example?
3. Interpret this finding.