1. A construction company is choosing between two different kinds of
concrete for building stairs. Mixture A is more expensive, so they'll only
use it if there's evidence that it makes a difference. They look at a
sample of 100 staircases built using either mixture A or mixture B, and
look at the condition the stairs are in after 10 years.
Good condition Fair condition Poor condition Total
Mixture A
18
19
10
47
Mixture B
14
26
13
53
Total
32
45
23
100
a. Calculate the \"expected\" counts for each cell in the two-way
table.
Good condition Fair condition Poor condition Total
Mixture A
47
Mixture B
53
Total
32
45
23
100
b. Calculate the $\chi^2$ statistic.
