Let Pi denote the probability of getting a disease if vaccinated, and P2 denotes the probability of getting the disease if unvaccinated, then vaccine efficacy (VE) is VE = 1– P1 P2. That is, VE is a relative probability concept because Pi is divided by P2. Suppose there are n people in the vaccinated (i.e., treatment) group, and the unvaccinated (i.e., control or placebo) group is also of size n. That is, the vaccinated and unvaccinated groups are the same size. Also, suppose that 5 people in the vaccinated group contract the disease and 85 people in the unvaccinated group contract the disease Calculate the vaccine efficacy VE

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Let Pi denote the probability of getting a disease if vaccinated, and P2 denotes the probability of
getting the disease if unvaccinated, then vaccine efficacy (VE) is
VE = 1 –
P2 .
That is, VE is a relative probability concept because Pi is divided by P2. Suppose there are n people
in the vaccinated (i.e., treatment) group, and the unvaccinated (i.e., control or placebo) group is also
of size n. That is, the vaccinated and unvaccinated groups are the same size. Also, suppose that 5
people in the vaccinated group contract the disease and 85 people in the unvaccinated group
contract the disease. Calculate the vaccine efficacy VE.
Transcribed Image Text:Let Pi denote the probability of getting a disease if vaccinated, and P2 denotes the probability of getting the disease if unvaccinated, then vaccine efficacy (VE) is VE = 1 – P2 . That is, VE is a relative probability concept because Pi is divided by P2. Suppose there are n people in the vaccinated (i.e., treatment) group, and the unvaccinated (i.e., control or placebo) group is also of size n. That is, the vaccinated and unvaccinated groups are the same size. Also, suppose that 5 people in the vaccinated group contract the disease and 85 people in the unvaccinated group contract the disease. Calculate the vaccine efficacy VE.
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