Question: 1.11 A binomial experiment tests $$H_0: pi = 0.50$$ against $$H_a: pi eq 0.50$$ using significance level 0.05. Only n = 5 observations are available.

1.11 A binomial experiment tests $$H_0: \pi = 0.50$$ against $$H_a: \pi eq 0.50$$ using significance level 0.05. Only n = 5 observations are available. Show that the true null probability of rejecting Ho is 0.00 for an exact binomial test and $$ \frac{1}{16}$$ using the large-sample score test.

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