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 probability is (Round to three decimal places as needed.) What would be an unfavorable consequence of this error? O A. The test would be shown to be not effective. OB. The test would be shown to be not reliable. OC. The subject would experience needless stress and additional testing. O D. The subject would not receive treatment and could spread the disease. … The individual actually had the disease Yes Positive 343 Negative 10 No 9 1148

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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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?

**Table: Test Results**

|                        | The individual actually had the disease |   |
|------------------------|----------------------------------------|---|
|                        | Yes                                    | No |
| **Positive**           | 343                                    | 9  |
| **Negative**           | 10                                     | 1148 |

---

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 effective.
- ( ) B. The test would be shown to be not reliable.
- ( ) C. The subject would experience needless stress and additional testing.
- ( ) D. The subject would not receive treatment and could spread the disease.

**Explanation**: 

This problem focuses on calculating the probability of a false negative result—when a test result shows negative but the individual actually has the disease. According to the table, there are 10 false negatives.

To find the probability: 

- Please note that you need to calculate the probability of a subject having a negative test result given that they do indeed have the disease. According to the table, 343 tests are positive and 10 are negative for individuals who actually have the disease.

This can be expressed as:

- **Probability = (Number of false negatives) / (Total number of individuals who actually have the disease)**

Thus, calculate the probability based on the given data and analyze the unfavorable consequence from the provided options.
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? **Table: Test Results** | | The individual actually had the disease | | |------------------------|----------------------------------------|---| | | Yes | No | | **Positive** | 343 | 9 | | **Negative** | 10 | 1148 | --- 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 effective. - ( ) B. The test would be shown to be not reliable. - ( ) C. The subject would experience needless stress and additional testing. - ( ) D. The subject would not receive treatment and could spread the disease. **Explanation**: This problem focuses on calculating the probability of a false negative result—when a test result shows negative but the individual actually has the disease. According to the table, there are 10 false negatives. To find the probability: - Please note that you need to calculate the probability of a subject having a negative test result given that they do indeed have the disease. According to the table, 343 tests are positive and 10 are negative for individuals who actually have the disease. This can be expressed as: - **Probability = (Number of false negatives) / (Total number of individuals who actually have the disease)** Thus, calculate the probability based on the given data and analyze the unfavorable consequence from the provided options.
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