Refer to the ESP experiment in Exercise 6.33, with n = 5.

(a) For what value(s) of x = number of correct guesses can you reject H0: π = 0.50 in favor of Ha:π > 0.50, using

α = 0.05?

(b) For what value(s) of x can you reject H0 using α =

0.01? (Note: For small samples, it may not be possible to achieve very small P-values.)

(c) Suppose you test H0 using α = 0.05.

If π = 0.50, what is the actual P(Type I error)? (Note: For discrete distributions, P(Type I error) may be less than intended. It is better to report the P-value.)