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a. The probability is approximately 0.0526. (Round to four decimal places as needed.) b. Fill in the numbers in the tree diagram. (Round to the nearest integer as needed.) S (4) S° ( 996 ) Pos () Neg() Pos (60) Neg()

a. The probability is approximately 0.0526. (Round to four decimal places as needed.) b. Fill in the numbers in the tree diagram. (Round to the nearest integer as needed.) S (4) S° ( 996 ) Pos () Neg() Pos (60) Neg()

MATLAB: An Introduction with Applications
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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Hello!, I wanted to know if you could help me figure out the rest of the tree diagram? I did half of the chart but I'm not sure how I would fill out the rest

**Understanding Disease Testing: Sensitivity, Specificity, and Prevalence** For the use of a test for a certain disease, we have the following parameters: - **Sensitivity**: 0.83 - **Specificity**: 0.94 - **Prevalence**: 0.004 **Task a: Probability Calculation** Given that a test is positive, find the probability that a random patient has the disease. - The computed probability is approximately **0.0526**. - This value is rounded to four decimal places as needed. **Task b: Tree Diagram Analysis** A tree diagram is used to illustrate the pathway of test results in a sample of 1000 patients. **Diagram Structure:** 1. **Disease Status (S or Sʹ):** - S (True Disease) - Total: 4 - Positive (Pos): (To be filled) - Negative (Neg): (To be filled) - Sʹ (No Disease) - Total: 996 - Positive (Pos): 60 - Negative (Neg): (To be filled) **Task c: Error Analysis** In positive cases, the proportion of error is larger when the prevalence is lower. This is because a lower prevalence results in a higher number of false positives relative to the number of true positives, affecting the predictive value of a positive test.
Transcribed Image Text:**Understanding Disease Testing: Sensitivity, Specificity, and Prevalence** For the use of a test for a certain disease, we have the following parameters: - **Sensitivity**: 0.83 - **Specificity**: 0.94 - **Prevalence**: 0.004 **Task a: Probability Calculation** Given that a test is positive, find the probability that a random patient has the disease. - The computed probability is approximately **0.0526**. - This value is rounded to four decimal places as needed. **Task b: Tree Diagram Analysis** A tree diagram is used to illustrate the pathway of test results in a sample of 1000 patients. **Diagram Structure:** 1. **Disease Status (S or Sʹ):** - S (True Disease) - Total: 4 - Positive (Pos): (To be filled) - Negative (Neg): (To be filled) - Sʹ (No Disease) - Total: 996 - Positive (Pos): 60 - Negative (Neg): (To be filled) **Task c: Error Analysis** In positive cases, the proportion of error is larger when the prevalence is lower. This is because a lower prevalence results in a higher number of false positives relative to the number of true positives, affecting the predictive value of a positive test.
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