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Home » Ursprüngliches Volumen**: \(\pi \times 3^2 \times 10 = 90\pi \, \textm^3\) - Veritas Home Health

Ursprüngliches Volumen**: \(\pi \times 3^2 \times 10 = 90\pi \, \textm^3\) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 An epidemiologist estimates that a vaccine reduces infection risk by 75%. In a trial with 10,000 vaccinated and 10,000 unvaccinated, 200 vaccinated and 500 unvaccinated get infected. Do the numbers are consistent with the expected risk reduction? (Calculate observed vs expected.)

📌 Expected infections in vaccinated if 75% reduction:

📌 Unvaccinated infection rate = \( \frac{500}{10,000} = 5\% \)

📌 Expected risk: \( 5\% \times (1 - 0.75) = 1.25\% \)

📌 Expected infections: \( 0.0125 \times 10,000 = 125 \)

📌 Observed: 200

📌 Observed rate: \( \frac{200}{10,000} = 2\% \)

📌 2% > 1.25% → higher incidence, inconsistent with vaccine efficacy (could be due to variability or other factors).

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