A through e A blood test to diagnose a disease was performed on a number of pati

Question

A through e A blood test to diagnose a disease was performed on a number of patients. Given the following information: Number of patients who have a positive test result and have the disease 1,491 Number of patients who have a negative test result-3,149 Number of patients who have a positive test result but don't have the disease -89 iumnber of patients who do not have the disease-3017 2. a. Construct, label, and completely fill in a 2 x 2 decision table that accurately reflects the data (12 points) b. Calculate the sensitivity of the test (5 points) c. Calculate the specificity of the test (5 points) d. Calculate the False Positive Rate (5 points) e. Calculate the False Negative Rate (5 points) Show all work! That includes the formulas used for your calculations

Explanation / Answer

a)

b)

sensitivity =P(positive test|have disease)=1491/1712=0.8709

c)specificity =P(negative test|not have disease)=2928/3017 =0.9705

d)

false positive rate =1-specificity =0.0295

e)false negative rate = 1-sensitivity =0.1291

Test Result True Disease State Diseased (+) Healthy(-) Total Diseased (+) 1491 221 1712 Healthy (-) 89 2928 3017 Total 1580 3149 4729

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