Astudy shows that an influenza 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 infulenza?

If 15,422 people took this vaccine, it is likely that 11,011.08 will be protected against influenza, while 4,410.69 will be likely to contract the influenza.

Explanation:

As we can see in the question above, a vaccine that was developed to protect people against influenza is 71.4% effective. Based on that, we can say that if 15,422 people took this vaccine, it is likely that 11,011.08 will be protected against influenza, while 4,410.69 will be likely to contract influenza. This result can be discovered through the following calculations:

15,422 = 100%

x = 70.4%

x= (70.4 * 15,422)/100 = 11,011.08 People protected according to the disease efficiency rate.

15,422 - 11,011.08 = 4,410.6 Unprotected people according to the disease efficiency rate.