A test has power 0.80 when =3.5. True or false a) The probability of rejecting H

Question

A test has power 0.80 when =3.5. True or false

a) The probability of rejecting H0 when =3.5 is 0.80

b) The probability of making a type I error when =3.5 is 0.80

c) The probability of making a type I error when =3.5 is 0.20

d) The probability of making a type II error when =3.5 is 0.80

e) The probability of making a type II error when =3.5 is 0.20

f) The probability that H0 is false when =3.5 is 0.80

Thanks in advance. I'm pretty sure a) and e) are true and d) is false but I'm not sure about the others.

Explanation / Answer

A test has power 0.80 when µ=3.5. a) The probability of rejecting H0 when µ=3.5 is 0.80 -- True b) The probability of making a type I error when µ=3.5 is 0.80 -- False c) The probability of making a type I error when µ=3.5 is 0.20 -- False d) The probability of making a type II error when µ=3.5 is 0.80 -- False e) The probability of making a type II error when µ=3.5 is 0.20 -- True f) The probability that H0 is false when µ=3.5 is 0.80 -- False

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