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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
20.  Return to the problem of estimating the population proportion p and consider another adjusted estima- tor, namely
Â
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X + 1n/4
pˆ    =
n + 1n
Â
The justi cation for this estimator comes from the Bayesian approach to point estimation to be intro- duced in Section 14.4.
a.  Determine the mean square error of this estima- tor. 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).
Â
Â
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