Question: In a random sample of size 10 from a Bernoulli population distribution, how many (nonrandomized) critical regions can you define that have size (leq .10)

In a random sample of size 10 from a Bernoulli population distribution, how many (nonrandomized) critical regions can you define that have size $\leq .10$ and that are also unbiased for testing the null hypothesis $H_{0}: p=.4$ versus $H_{a}: p eq .4$ ?

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