In Example 11.3.4, let In be the interval (11.23). Show that, for any n, inf p Pp{p

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In Example 11.3.4, let In be the interval (11.23). Show that, for any n, inf p Pp{p ∈ ˆIn} = 0 .

Hint: Consider p positive but small enough so that the chance that a sample of size n results in 0 successes is nearly 1.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

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