stimate sensitivity, specificity, positive predictive value, negative predictive value and prevalence from data in the 2 x 2 table for an infectious disease and its diagnostic test.
stimate sensitivity, specificity, positive predictive value, negative predictive value and prevalence from data in the 2 x 2 table for an infectious disease and its diagnostic test.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Estimate sensitivity, specificity, positive predictive value, negative predictive value and prevalence from data in the 2 x 2 table for an infectious disease and its diagnostic test.
![The image presents a table and a question regarding specificity on an educational topic. Here's the detailed transcription:
### Table: Test Results and Disease Status
| Status | Disease Present | Disease Absent | Marginal Total |
|-----------------------|-----------------|----------------|----------------|
| Test Positive | 57 | 4 | 61 |
| Test Negative | 43 | 96 | 139 |
| Marginal Total | 100 | 100 | 200 |
### Question
2. Specificity
Options:
- ○ 57%
- ○ 93%
- ○ 69%
- ○ 96%
- ○ 50%
### Explanation
In the context of this table, specificity refers to the ability of the test to correctly identify those without the disease (Disease Absent). It is calculated using the formula:
\[
\text{Specificity} = \left(\frac{\text{True Negatives}}{\text{True Negatives} + \text{False Positives}}\right) \times 100
\]
From the table:
- True Negatives = 96
- False Positives = 4
Using the formula:
\[
\text{Specificity} = \left(\frac{96}{96 + 4}\right) \times 100 = 96\%
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F406c5236-57c9-426a-914a-f6de98d94e20%2Fc95b9a15-de51-4a38-9e11-f062606c19ea%2Fcexpcsa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a table and a question regarding specificity on an educational topic. Here's the detailed transcription:
### Table: Test Results and Disease Status
| Status | Disease Present | Disease Absent | Marginal Total |
|-----------------------|-----------------|----------------|----------------|
| Test Positive | 57 | 4 | 61 |
| Test Negative | 43 | 96 | 139 |
| Marginal Total | 100 | 100 | 200 |
### Question
2. Specificity
Options:
- ○ 57%
- ○ 93%
- ○ 69%
- ○ 96%
- ○ 50%
### Explanation
In the context of this table, specificity refers to the ability of the test to correctly identify those without the disease (Disease Absent). It is calculated using the formula:
\[
\text{Specificity} = \left(\frac{\text{True Negatives}}{\text{True Negatives} + \text{False Positives}}\right) \times 100
\]
From the table:
- True Negatives = 96
- False Positives = 4
Using the formula:
\[
\text{Specificity} = \left(\frac{96}{96 + 4}\right) \times 100 = 96\%
\]
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