For questions 1-3, refer to the following information: Screening tests are often used in clinical practice to assess the likelihood that a person has a medical condition. The rationale is that, if disease is identified before symptom onset, then earlier treatment may lead to cure or improved survival or quality of life. The prostate-specific antigen (PSA) test for prostate cancer measures blood concentrations of PSA, a protein produced by the prostate gland. Elevated levels of PSA may help identify men with prostate cancer. A definitive diagnosis, however, requires biopsies of the prostate gland. A population of men over 50 years old who are considered at high risk for prostate cancer had both the PSA screening test and a biopsy. Among these men, 21% had both elevated PSA levels and a positive biopsy, whereas 50% had low PSA levels and a negative biopsy. 24% had a positive biopsy. Hint: Start by drawing a Venn diagram
1. Is a man having an elevated PSA level independent of a man having a positive biopsy? Why or why not? (2 points)
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