Sensitivity and Specificity Calculations for Health Science

The prevalence of prostate cancer is 16% among men. Out of
20,000 men screened with the prostate specific antigen (PSA) test, 400 men with
prostate cancer had a negative test results and 800 of the men without prostate
cancer had positive test results.

i. Determine
the specificity of the PSA test.

ii. Determine
the sensitivity of the PSA test.

iii. What is
the accuracy of this diagnostic test?

The prevalence of breast cancer is 12% among women. Out of
100,000 women screened for breast cancer, 11,000 women with breast cancer had a
positive test result and 4,000 women without breast cancer had a positive test
result.

i. Determine
the specificity of the breast cancer screen.

ii. Determine
the sensitivity of the breast cancer screen.

iii. What is
the accuracy of this diagnostic screening?