Question: Assuming that the null hypothesis H0: = 0 is true, answer the following questions. a. Why is the probability of an observation exceeding 0

Assuming that the null hypothesis H0: η = η0 is true, answer the following questions.
a. Why is the probability of an observation exceeding η0 equal to 0.5?
b. In a simple random sample of size n, why does the number of observations that exceed η0 have a binomial distribution with parameters n and 0.5?

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