In a community with a population of 10,000 people, the prevalence of a certain disease is...
In a community with a population of 10,000 people, the prevalence of a certain disease is 5%. A screening test for this disease with a sensitivity of 95% and specificity of 80% is implemented on the entire population. How many TRUE POSITIVE results will there be?
Homework Answers
Based on the information given:
| True Disease | |||
| No disease | Disease | ||
| P(D)=0.95 | P(D)=0.05 | ||
| 0.95 | 0.05 | ||
| Test positive | Test negative | Test positive | Test negative |
| 20.00% | 80.00% | 95.00% | 5.00% |
| False Positive | True Negative | True positive | False negative |
| 0.19 | 0.76 | 0.0475 | 0.0025 |
P(true positve) = 0.0475
No of true positive results = 10,000 * 0.0475 = 475
TRUE POSITIVE results = 475
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