(Solution Library) Refer to the previous exercise about medical diagnosis A New York Times article (feb 17, 1999) about the PSA blood test for detecting
Question: 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
- 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.
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