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.