Suppose that x = 21 is an observation from a B(27, p) random variable. (a) Compute a two-sided 99% confidence interval for p. (b) Compute a two-sided 95% confidence interval for p. (c) Compute a one-sided 95% confidence 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