6.67. Refer to the ESPexperiment in Exercise 6.33, with n = 5.

(a) For what value(s) of jc = number of correct guesses can you reject Hq: tt = 0.50 in favor of Ha: tt > 0.50, using a = 0.05?

(b) For what valuc(s) ofx can you reject Hq using a = 0.01? (Ao/e; Forsmallsamples, it may not be possible to achieve very small P-values.)

(c) Suppose you test Hq using a = 0.05. If tt = 0.50, what is /'(Type 1 error)? (Note: For discrete distributions, /'(Type I error) may be less than intended. It is better to report the P-value.)