20. Return to the problem of estimating the population proportion p and consider another adjusted estimator, namely

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20. Return to the problem of estimating the population proportion p and consider another adjusted estimator, namely The justi cation for this estimator comes from the Bayesian approach to point estimation to be introduced in Section 14.4.

a. Determine the mean square error of this estimator.

What do you nd interesting about this MSE?

b. Compare the MSE of this estimator to the MSE of the usual estimator (the sample proportion).

pˆ 

X  1n/4 n  1n

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