Suppose that x =21 is an observation from a B(27, p)

Chapter 10, Problem 10.1.2

(choose chapter or problem)

Suppose that x =21 is an observation from a B(27, p) random variable. (a) Compute a two-sided 99% condence interval for p. (b) Compute a two-sided 95% condence interval for p. (c) Compute a one-sided 95% condence interval that provides a lower bound for p. (d) Consider the hypotheses H0 : p 0.6 versus HA : p > 0.6. Calculate an exact p-value using the tail probability of the binomial distribution and compare it with the corresponding p-value calculated using a normal approximation.

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