Question: 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.

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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