Question

Approximately 25 % of American men in their 50's have prostate cancer. High levels of prostate specific antigens (PSA) in blood is used as a test for prostate cancer. Approximately 20% on men with prostate cancer have a normal PSA level and two out of three men without prostate cancer have high PSA levels. Calculate the probability that a PSA test on an American in his 50's will result in a false positive.​

Answer 1

The probability that a PSA test on an American in his 50's will result in a false positive is 50%.

How to determine probabilities

To determine the probability that a PSA test on an American in his 50's will result in a false positive, the following calculation must be performed:

• 0.75 x 0.666 = X
  
• 0.5 = X
  
• 0.5 x 100 = 50
  

Therefore, the probability that a PSA test on an American in his 50's will result in a false positive is 50%.

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