Section 9.1 (p.524)

1.

2. From Exercise 1, . Rewrite as follows:

Therefore,

4. According Equation (6) or Exercise 2, Q = 8.6. Under the null hypothesis H₀ that the 2 blood types are independent, Q has a c² distribution with 3 df. Therefore we reject H₀ at a₀ = 0.05, but not at a₀ = 0.025.

5. Similar to Exercise 4, we have Q = 0.91 which has a c² distribution with 1 df under H₀. We reject H₀ at a₀ = 0.4, but not at a₀ = 0.3.

8. Follow the procedure discussed in the book.

(1) The actual number of unknown parameters when H₀ is true is R+C+T-3

(2) Q has the form where is the MLE.

(3) When H₀ is true and n ® ¥, Q converges to a c² distribution with RCT-R-C-T+2 df