6.56. Let (5 denote P(Typc II error). For an a = 0.05-

level test of Hq: p, = 0 against Ha: p. >

f) with

« = 30 observations. /3 = 0.36 at/x = 4. Then

(a) At/x = 5, /3 > 0.36.

(b) If a = 0.01, then at /x = 4, /3 > 0.36.

(c) If n = 50, then at /x = 4, /3 > 0.36.

(d) The power of the test is 0.64 at /x = 4.

(e) This must be false, because necessarily a +

/3= 1.