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In a clinical trial, a vaccine shows a 70% efficacy rate. If 1,000 individuals a

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Question: In a clinical trial, a vaccine shows a 70% efficacy rate. If 1,000 individuals are vaccinated, how many are expected to be protected?

Options:

  1. 700
  2. 300
  3. 500
  4. 900

Correct Answer: 700

Solution:

With 70% efficacy, 70% of 1,000 individuals would be protected, which equals 700 individuals.

In a clinical trial, a vaccine shows a 70% efficacy rate. If 1,000 individuals a

Practice Questions

Q1
In a clinical trial, a vaccine shows a 70% efficacy rate. If 1,000 individuals are vaccinated, how many are expected to be protected?
  1. 700
  2. 300
  3. 500
  4. 900

Questions & Step-by-Step Solutions

In a clinical trial, a vaccine shows a 70% efficacy rate. If 1,000 individuals are vaccinated, how many are expected to be protected?
Correct Answer: 700
  • Step 1: Understand that the vaccine has a 70% efficacy rate.
  • Step 2: Know that efficacy means the percentage of people who will be protected by the vaccine.
  • Step 3: Calculate 70% of the total number of vaccinated individuals, which is 1,000.
  • Step 4: To find 70% of 1,000, multiply 1,000 by 0.70 (which is the decimal form of 70%).
  • Step 5: Perform the calculation: 1,000 * 0.70 = 700.
  • Step 6: Conclude that 700 individuals are expected to be protected by the vaccine.
  • Vaccine Efficacy – Vaccine efficacy is the percentage reduction of disease in a vaccinated group compared to an unvaccinated group under controlled conditions.
  • Basic Arithmetic – The ability to perform simple calculations, such as finding a percentage of a total.
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