Suppose that 100,000 men were screened for prostate cancer for the first time. of these, 4,000 men had a positive result on the screening blood test; of those who tested positive, 800 had a biopsy indicating a diagnosis of prostate cancer.
among the remaining 96,000 men who screened negative, 100 developed prostate cancer within the following year and were assumed to be false negatives to the screen.

a) set-up the two-by-two table for this data. ( provide an actual table)

b) what is the prevalence of prostate cancer in this population?

c) calculate and interpret the sensitivity of this screening test

d) calculate and interpret the specificity of this screening test.

e) calculate and interpret the positive predictive value of this screening test.