In a diagnostic test, disease prevalence is . The test sensitivity is and false positive rate is . Calculate .
Answer and explanation
Correct answer: C.
**Answer: . Why not the others:** commits the base-rate fallacy by confusing with test sensitivity ; is the unadjusted prior prevalence; assumes equal probability of positive tests.
- Step 1: Apply Bayes' theorem: .
- Step 2: Calculate: numerator . Denominator . Thus (or ).
Practise more Advanced Algebra, Functions, Trigonometry, and Vectors.
Free questions with an explanation for every one, and full timed CESS & Examen d'entrée (Belgium) mock tests.
More Advanced Algebra, Functions, Trigonometry, and Vectors questions
- Find the value of such that the polynomial is divisible by .
- Solve the inequality for .
- Find the real solution to the equation .
- Solve the logarithmic equation for .
- Given that , calculate the exact value of .
- An arithmetic progression has first term and common difference . Compute the sum of the first 20 terms, .