Suppose that X is the number of observed successes in a sample of n observations where p

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Suppose that X is the number of observed “successes” in a sample of n observations where p is the probability of success on each observation.
(a) Show that P = X/n is an unbiased estimator of p.
(b) Show that the standard error of P is √p(1 – p)/n. How would you estimate the standard error?
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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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