Community Medicine (PSM) · Epidemiology (Study Designs, Bias, Systematic Review, Measures of Association)

A vaccine with 70% efficacy is deployed in a population where baseline attack rate (without vaccine) is 20%. The attack rate in vaccinated individuals will be approximately:

  • A 14%
  • B 50%
  • C 6%
  • D 10%
Correct answer: C. 6%

Explanation

Vaccine efficacy (VE) = (Attack Rate Unvaccinated − Attack Rate Vaccinated) / Attack Rate Unvaccinated. Rearranging: Attack Rate Vaccinated = Attack Rate Unvaccinated × (1 − VE) = 20% × (1 − 0.70) = 20% × 0.30 = 6%. Vaccine efficacy of 70% means the vaccine reduces the risk of infection by 70% relative to unvaccinated individuals.

Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.

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