You are helping to plan a clinical trial of a vaccine, and want to be able to detect rare serious side effects. Suppose a particular serious symptom occurs in 1 of every 40000 people in the general population, and you want to be able to detect if the vaccine increases its frequency by a factor of 4 (i.e. so that it occurs in vaccinated people with a frequency of 4 in 40000). How big does your clinical trial need to be, to detect such an increase, with 95% confidence?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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You are helping to plan a clinical trial of a vaccine, and want to be able to detect rare
serious side effects. Suppose a particular serious symptom occurs in 1 of every 40000 people in the
general population, and you want to be able to detect if the vaccine increases its frequency by a
factor of 4 (i.e. so that it occurs in vaccinated people with a frequency of 4 in 40000). How big does
your clinical trial need to be, to detect such an increase, with 95% confidence?
(Again, show how you get the answer)

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