S. decimal places as needed.) an unfavorable consequence of this error? would be shown to be not reliable. ject would experience needless stress and additional testing. ject would not receive treatment and could spread the disease. ...
S. decimal places as needed.) an unfavorable consequence of this error? would be shown to be not reliable. ject would experience needless stress and additional testing. ject would not receive treatment and could spread the disease. ...
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error?
| | The individual actually had the disease |
|----------------------|----------------------------------------|
| | Yes | No |
| Positive | 334 | 6 |
| Negative | 14 | 1125 |
The probability is [ ].
(Round to three decimal places as needed.)
What would be an unfavorable consequence of this error?
- A. The test would be shown to be not reliable.
- B. The subject would experience needless stress and additional testing.
- C. The subject would not receive treatment and could spread the disease.
- D. The test would be shown to be not effective.
**Explanation of the Table:**
The table is a confusion matrix representing the test results for a disease.
- **Positive Test Result:**
- 334 individuals who actually have the disease tested positive.
- 6 individuals who do not have the disease tested positive (false positive).
- **Negative Test Result:**
- 14 individuals who actually have the disease tested negative (false negative).
- 1125 individuals who do not have the disease tested negative.
The task is to find the probability of a false negative (negative test result given that the subject has the disease), which is calculated by dividing the number of false negatives by the total number of subjects who actually have the disease. In this case, it is \( \frac{14}{348} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08c7fa2f-91a5-4798-ae64-752374b85683%2F870ce711-221d-4bfd-b949-efca5cd7af03%2F7pakww_processed.png&w=3840&q=75)
Transcribed Image Text:The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error?
| | The individual actually had the disease |
|----------------------|----------------------------------------|
| | Yes | No |
| Positive | 334 | 6 |
| Negative | 14 | 1125 |
The probability is [ ].
(Round to three decimal places as needed.)
What would be an unfavorable consequence of this error?
- A. The test would be shown to be not reliable.
- B. The subject would experience needless stress and additional testing.
- C. The subject would not receive treatment and could spread the disease.
- D. The test would be shown to be not effective.
**Explanation of the Table:**
The table is a confusion matrix representing the test results for a disease.
- **Positive Test Result:**
- 334 individuals who actually have the disease tested positive.
- 6 individuals who do not have the disease tested positive (false positive).
- **Negative Test Result:**
- 14 individuals who actually have the disease tested negative (false negative).
- 1125 individuals who do not have the disease tested negative.
The task is to find the probability of a false negative (negative test result given that the subject has the disease), which is calculated by dividing the number of false negatives by the total number of subjects who actually have the disease. In this case, it is \( \frac{14}{348} \).
Expert Solution
Step 1
Given
Let A be the event that selecting a subjr with a negative result.
Let B be the event that subject has the disease.
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