Question

For a particular infectious disease, 15% of non-vaccinated individuals will become infected with the disease in one year versus 5% of vaccinated individuals. Simulate a virtual randomized trial in which you vaccinate 1000 individuals with the real vaccine and 1000 individuals with a placebo vaccine and follow the groups for one year. (Hint: Generate values from random binomial functions with N=1000, p=.15 and N=1000, p=.05; then subtract). How many more infections occurred in the placebo group than in the vaccine group in this single virtual trial?

          For a particular infectious disease, 15% of non-vaccinated
individuals will become infected with the disease in one year
versus 5% of vaccinated individuals. Simulate a virtual randomized
trial in which you vaccinate 1000 individuals with the real vaccine
and 1000 individuals with a placebo vaccine and follow the groups
for one year. (Hint: Generate values from random binomial functions
with N=1000, p=.15 and N=1000, p=.05; then subtract). How many more
infections occurred in the placebo group than in the vaccine group
in this single virtual trial?

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Added by Julian S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

10/25/2022

Step 1

We can use a binomial distribution for this, which models the number of successes (infections) in a fixed number of independent Bernoulli trials (individuals) with the same probability of success (infection rate). For the non-vaccinated group (placebo), we can Show more…

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For a particular infectious disease, 15% of non-vaccinated individuals will become infected with the disease in one year versus 5% of vaccinated individuals. Simulate a virtual randomized trial in which you vaccinate 1000 individuals with the real vaccine and 1000 individuals with a placebo vaccine and follow the groups for one year. (Hint: Generate values from random binomial functions with N=1000, p=.15 and N=1000, p=.05; then subtract). How many more infections occurred in the placebo group than in the vaccine group in this single virtual trial?

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