Question: 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
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.
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