The following is a homework question that I'm having a lot of trouble with. Despite even possessing the answer to the question, I still can't work it out for myself. If someone could kindly explain and work out the answer for me, I would very much appreciate it. Thank you.
Approximately 1 in 14 men over the age of 50 has prostate cancer. The level of 'prostate specific antigen' (PSA) is used as a preliminary screening test for prostate cancer.
7% of men with prostate cancer do not have a high level of PSA. These results are known as 'false
75% of those men with a high level of PSA do not have cancer. These results are known as 'false
If a man over 50 has a normal level of PSA, what are the chances that he has prostate cancer?