The table below shows the breakdown of actual status versus medical test results for a rare disease where n = 100,000.
|
|
Results of the Medical Test
|
|
|
|
Test shows Malignant
|
Test does not show malignant
|
Total
|
Tumor Actually Malignant
|
800
|
200
|
1,000
|
|
Tumor Actually Benign
|
9,900
|
89,100
|
99,000
|
|
Total
|
10,700
|
89,300
|
100,000
|
Please show the calculation for parts a through e.
a. What is the base rate for the disease?
b. What is the sensitivity for this medical test?
c. What is the specificity for this medical test?
d. What is the probability of a false positive for this medical test?
e. What is the probability of a false negative for this medical test?