Section 9.4 (p.545)

 

1.         Based on Equation (6), Q = 7.57. When the null hypothesis H0 (the distributions of scores in the two cities are the same) is true, Q has approximately a c2 distribution with (2-1)(3-1) = 2 df.. Therefore, 0.01 < Pr(Q ³ 7.57) < 0.025. This implies that we reject H0 at a0=0.025, but not at a0=0.01.

 

4.         Here we want to test the homogeneity; the table should be like the following:

 

 

Supplier

1

2

3

# of defectives

1

7

7

# of non-defective

14

8

8

 

Q = (1-5)2/5 + (7-5)2/5 + (7-5)2/5 + (14-10)2/10 + (8-10)2/10 + (8-10)2/10 = 7.2

Therefore, we should reject H0 at a0=0.05

 

5.         Based on the discussion on “correlated 2x2 tables” (p.544), what we can get are simply the marginal totals as the shown in the following table:

 

 

After demonstration

 

Hit

Miss

Before

demonstration

Hit

 

 

27

Miss

 

 

73

 

35

65

 

 

To fully construct the table, at least one of the cell has to be known.