Question: 50

Refer to the previous exercise about medical diagnosis A New York Times article (feb 17, 1999) about the PSA blood test for detecting prostate cancer stated: “ The test fails to detecting prostate cancer stated:” The test fails to detect prostate cancer in 1 in 4 men who have the disease”

Medical Diagnosis

Disease Negative Positive

No () Correct Type I error

Yes (() Type II error Correct

a. For the PSA test explain what a Type I error is k and explain the consequence to a man of this type of error.

b. For the PSA test explain what a Type II error? What is the consequence to a man of type of error?

c. To which type of error does the probability of 1 in 4 refer?

d. The article also stated that if your receive a positive result, the probability that you do not actually have prostate cancer is 2/3. Explain the difference between this and the conditional probability of a Type I error, given that you do not have prostate cancer.