1. Let Y be b( l92, p). We reject H0 : p = 0.75 and accept H1 :p > 0.75 if and only if Y > 152. Use the normal approximation to determine:
(a) (X = Pr ( Y > 152; p = 0.75).
(b) p = Pr ( Y 152) when p = 0.80.
2. Let Y be b(lOO, p). To test H0 : p. 0.08 against H , :p 0.08, we reject H0 and accept H1 if and only if Y 6.
(a) Determine the significance level ex of the test.
(b) Find the probability of the type II error if in fact p = 0.04.