Question

In: Statistics and Probability

One study has reported that the sensitivity of the mammogram as a screening test for detecting...

One study has reported that the sensitivity of the mammogram as a screening test for detecting breast cancer is 0.88, while the specificity is 0.75

1. What is the probability of a false negative test result? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 50%

b. 100%

c. 23%

d. 12%

2. What is the probability of a false positive test result? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 25%

b. 75%

c. 100%

d. 0%

3. In a population in which the probability that a woman has breast cancer is 0.003, what is the probability that she has cancer given that her mammogram is positive? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 0.023

b. 0.534

c. 0.0011

d. 0.011

4. In a population in which the probability that a woman has breast cancer is 0.0015, what is the probability that she has cancer given that her mammogram is positive? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 0.1234

b. 0.4321

c. 0.6754

d. 0.0053

Expert Solution

orchestra answered 1 year ago

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