question archive A study shows that an influenza ( flu ) vaccine is 71

A study shows that an influenza ( flu ) vaccine is 71

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A study shows that an influenza ( flu ) vaccine is 71.4 % effective in preventing a particular type of influenza If 15,422 people receive the vaccine, how many would not be protected and would be likely to get influenza? Round off to the nearest whole number

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Answer:

4411 people.

Number of people who received the vaccine = 15422

Effectiveness = 71.4%

People likely to be effected by influenza = 28.6%

So, number of people likely to be effected by influenza are = 0.286×15422 = 4410.69 ~4411 people.

Hence, 4411 people are likely to be not prevented and thus get effected by influenza.