Two vaccines against measles are being tested. It is important to know the difference in success rate very accurately, i.e. to be 95% sure that the estimated difference is within 0.01 of the true difference. If both vaccines are expected to have an approximate success rate of 80%, then the required sample size is:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Two vaccines against measles are being tested. It is important to know the difference in success rate very accurately, i.e. to be 95% sure that the estimated difference is within 0.01 of the true difference. If both vaccines are expected to have an approximate success rate of 80%, then the required sample size is:

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