Suppose that x = 14 is an observation from a B(37, pA) random variable, and that y

Question:

Suppose that x = 14 is an observation from a B(37, pA) random variable, and that y = 7 is an observation from a B(26. pB) random variable.
(a) Compute a two-sided 99% confidence interval for PA - PB.
(b) Compute a two-sided 95% confidence interval for PA - PB.
(c) Compute a one-sided 99% confidence interval that provides a lower bound for pA - pB.
(d) Calculate the p-value for the test of the hypotheses
H0: PA = PB versus HA: pA ≠ pB.