A diagnostic test is being developed to identify two groups of patients, those are given in the histogram below. Assuming a test threshoid of 58 fi.e, a test resut above (probability that an exposed patient tests positive) and specificity (probability that exposed (with high test values). Actual measured values for patients with iknowm exposumes b. Determine how well the test identifies the two groups by calculating the sensitivity who haven't been exposed to a pathogen (with low test values) and those who tave been 58 is a positive test for exposure): a. Fill in the confusion matrix an unexposed patient tests negative) for the test. Patient Test Values 30 25 25 luill. 20 19 19 17 26 15 15 14 12 11 11 10 61 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 725 75.0 775 8OD Test Value Unexposed patients Exposed patients High Test Value (+) Low Test Value (-) Total xposed Patients xposed Patients Total

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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A diagnostic test is being developed to identify two groups of patients, those
b. Determine how well the test identifies the two groups by calculating the sensitivity
are given in the histogram below. Assuming a test threshold of 58 (i.e, a test resut above
(probability that an exposed patient tests positive) and specificity (probability that
who haven't been exposed to a pathogen (with low test values) and those who have beem
exposed (with high test values). Actual measured values for patiets with knowm exposures
58 is a positive test for exposure):
a. Fill in the confusion matrix
an unexposed patient tests negative) for the test.
Patient Test Values
30
25
25
20
19
19
17
16
15
15
14
12
11
11
10
40.0 42.5
45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 725 75.0 775 BOD
Test Value
Unexposed patients
Exposed patients
High Test Value (+)
Low Test Value (-)
Total
Exposed Patients
Unexposed Patients
Total
Transcribed Image Text:A diagnostic test is being developed to identify two groups of patients, those b. Determine how well the test identifies the two groups by calculating the sensitivity are given in the histogram below. Assuming a test threshold of 58 (i.e, a test resut above (probability that an exposed patient tests positive) and specificity (probability that who haven't been exposed to a pathogen (with low test values) and those who have beem exposed (with high test values). Actual measured values for patiets with knowm exposures 58 is a positive test for exposure): a. Fill in the confusion matrix an unexposed patient tests negative) for the test. Patient Test Values 30 25 25 20 19 19 17 16 15 15 14 12 11 11 10 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 725 75.0 775 BOD Test Value Unexposed patients Exposed patients High Test Value (+) Low Test Value (-) Total Exposed Patients Unexposed Patients Total
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