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

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

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

Steps: 6

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.