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.
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.
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 shows a table and a question related to sensitivity in a medical testing context.
### Table:
| Status | Disease Present | Disease Absent | Marginal Total |
|----------------|-----------------|----------------|----------------|
| Test Positive | 57 | 4 | 61 |
| Test Negative | 43 | 96 | 139 |
| Marginal Total | 100 | 100 | 200 |
### Question:
1. **Sensitivity**
Options:
- ○ 57%
- ○ 93%
- ○ 69%
- ○ 96%
- ○ 50%
**Explanation:**
- **Sensitivity** measures the proportion of actual positives correctly identified by the test.
- It is calculated as: \( \text{Sensitivity} = \frac{\text{True Positives}}{\text{Condition Positive}} = \frac{57}{100} = 57\% \).
Therefore, the correct answer to the question is 57%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F406c5236-57c9-426a-914a-f6de98d94e20%2F8a3e82c0-e737-4f30-91f8-82ad243709d6%2F9wjq9em_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a table and a question related to sensitivity in a medical testing context.
### Table:
| Status | Disease Present | Disease Absent | Marginal Total |
|----------------|-----------------|----------------|----------------|
| Test Positive | 57 | 4 | 61 |
| Test Negative | 43 | 96 | 139 |
| Marginal Total | 100 | 100 | 200 |
### Question:
1. **Sensitivity**
Options:
- ○ 57%
- ○ 93%
- ○ 69%
- ○ 96%
- ○ 50%
**Explanation:**
- **Sensitivity** measures the proportion of actual positives correctly identified by the test.
- It is calculated as: \( \text{Sensitivity} = \frac{\text{True Positives}}{\text{Condition Positive}} = \frac{57}{100} = 57\% \).
Therefore, the correct answer to the question is 57%.
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