9.63 P (Type II error) increase Consider the hypothesis H0: p = 0.3 against Ha: p 7 0.3 for testing at a 5%

significance level.

a. Assume n = 200, find P(Type II error) when (i)

p = 0.4 and (ii) p = 0.35

b. Assume n = 100, find P(Type II error) when (i)

p = 0.4 and (ii) p = 0.35

c. Explain intuitively why P (Type II error) is larger when the parameter value is closer to the value in H0 and when the sample size decreases.