problem 1: A screening test for a newly discovered disease is being computed. In order to find out the effectiveness of the new test, it was administered to 900 workers; 150 of the individuals diagnosed with the disease tested positive. A negative test finding out occurred in 60 people who had the disease. A total of 50 persons not diseased tested positive for it. Suppose that the prior probability is not known. By using TP as a true positive, FP as a false positive, FN as a false negative and TN as a true negative compute the given problem:
A) What was the sensitivity of the test?
B) What was the specificity of the test?
C) What is the total accuracy of the test?
D) What was the predictive value of a positive test?
E) What was the predictive value of a negative test?
Please illustrate your math.