Why do we use 1/4 in place of p(1 p) in formula (20) for sample size

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Why do we use 1/4 in place of p(1 – p) in formula (20) for sample size when the probability of success p is unknown?
(a) Show that p(1 – p) = 1/4 – (p - 1/2)2.
(b) Why is p(1 – p) never greater than 1/4?

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Understanding Basic Statistics

ISBN: 9781111827021

6th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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Question Posted: Feb 28, 2016 04:02 AM

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Why do we use 1/4 in place of p(1 p) in formula (20) for sample size

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