A screening test for a newly discovered disease is being evaluated. In order to determine 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 occurred in 60 people who had the disease. A total of 50 persons not diseased tested positive for it. Assume the prior probability is not known. Using TP as a true positive, FP as a false positive, FN as a false negative and TN as a true negative calculate the following:
What was the sensitivity of the test?
What was the specificity of the test?
What is the overall accuracy of the test?
What was the predictive value of a positive test?
What was the predictive value of a negative test?
Please show your math.