Question

A blood test to diagnose a disease was performed on a number of patients. Given the following data:

Number of patients who had a positive test result and had the disease = 1,193

Number of patients = 1,561

Number of patients who had a negative test, and did not have the disease = 253

Number of patients who had a positive test result, but did not have the disease = 58

Number of patients who had a negative test result, but who had the disease = 57

1. Construct, label, and completely fill in a 2 x 2 decision table that accurately reflects the data (10 points)

2. Calculate the sensitivity of the test. Show all work! (5 points)

3. Calculate the specificity of the test. Show all work! (5 points)

4. Calculate the false positive rate. Show all work! (5 points)

5. Calculate the false negative rate. Show all work! (5 points)

Answer 1

Solution:-

Given

(a)

TP : True positive

FP : False positive

TN : True negative

FN : False negative

(b)

sensitivity =

(c)

specificity =

(d)

False positive Rate =

(e)

False negative rate =