Question

A screening test for a newly discovered disease was evaluated in order to determine how well the test performs. Investigators administered the test to a random sample of 900 people. Of the participants with the disease, 150 tested positive and 60 tested negative. Of those without the disease, 50 tested positive. What is the sensitivity of the screening test?
A. 7.14%
B. 71.43%
C. 7.50%
D. 75.00%
E. None of the above

Answer 1

Answer:

B. 71.43%

Step-by-step explanation:

The sensitivity is the probability that a test will indicate 'disease' among those with the disease, that is, the test has a positive results:

In this problem, we have that:

150 people with the disease tested positive and 60 tested negative. So the sensitivity is:

$S = 100*\frac{150}{210} = 71.43$

The correct answer is:

B. 71.43%