3.31 For a 2 x 2 table, consider H0: = 02, 2 = 21 = (1...

3.31 For a 2 x 2 table, consider H0: πιι = 02, πι2 = π21 = θ(1 – θ), π22 = (1 – θ)2.

a. Show that the marginal distributions are identical and that independence holds.

b. For a multinomial sample, under Ho show that e = (p1+ + P+1)/2.

c. Explain how to test Ho. Show that df = 2 for the test statistic.

d. Refer to Exercise 3.7. Are Kobe Bryant's pairs of free throws plausibly independent and identically distributed?