A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinate
Practice Questions
Q1
A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)
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Questions & Step-by-Step Solutions
A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)
Step 1: Understand that the vaccine is 80% effective. This means it prevents 80% of people from getting the disease.
Step 2: Calculate the percentage of people who will still get the disease. Since 80% are protected, 100% - 80% = 20% will still contract the disease.
Step 3: Determine how many people are vaccinated. In this case, 1000 people are vaccinated.
Step 4: Calculate 20% of 1000 to find out how many people are expected to still get the disease. This is done by multiplying 1000 by 0.20 (which is 20%).
Step 5: Perform the calculation: 1000 * 0.20 = 200. Therefore, 200 people are expected to still contract the disease.
Vaccine Effectiveness – Understanding the percentage of effectiveness and how it relates to the number of people vaccinated.
Percentage Calculation – Calculating the number of individuals affected based on a percentage of a total population.