A new non-invasive screening test is proposed that is claimed to be capable to identify patients with impaired glucose tolerance based on a battery of questions related to health behaviors. The new test is given to 75 patients. Based on each patient's responses to the questions they are classified as positive or negative for impaired glucose tolerance. Each patient also submits a blood sample and their glucose tolerance status is determined. The results are tabulated below.
| Screening Test |
Impaired Glucose Tolerance |
Not Impaired |
| Positive |
20 |
15 |
| Negative |
8 |
37 |
Among all those with an impaired glucose tolerance, what is the probability of receiving a positive test if you actually have impaired glucose tolerance (being a True Positive)?
Select one:
a. 0.25
b. 0.71
c. 0.57
d. None of the above