True or False Refer to Exercise 10.6.a The level of the

Chapter 10, Problem 7E

(choose chapter or problem)

Problem 7E

True or False Refer to Exercise 10.6.

a The level of the test computed in Exercise 10.6(a) is the probability that H0 is true.

b The value of β computed in Exercise 10.6(b) is the probability that Ha is true.

c In Exercise 10.6(b), β was computed assuming that the null hypothesis was false.

d If β was computed when p = 0.55, the value would be larger than the value of β obtained in Exercise 10.6(b).

e The probability that the test mistakenly rejects H0 is β.

f Suppose that RR was changed to |y − 18| ≥ 2.

i This RR would lead to rejecting the null hypothesis more often than the RR used in Exercise 10.6.

ii If α was computed using this new RR, the value would be larger than the value obtained

in Exercise 10.6(a).

iii If β was computed when p = .7 and using this new RR, the value would be larger than the value obtained in Exercise 10.6(b).

Reference

We are interested in testing whether or not a coin is balanced based on the number of heads Y on 36 tosses of the coin. (H0 : p = .5 versus Ha : p 7= .5). If we use the rejection region |y − 18| ≥ 4, what is

a the value of α?

b the value of β if p = .7?