In: Statistics and Probability
Transit Railroads is interested in the relationship between
travel distance and ticket class purchased. A random...
Transit Railroads is interested in the relationship between
travel distance and ticket class purchased. A random sample of 200
passengers is taken. The table below shows the results. The
railroad wants to know if a passenger’s choice in ticket class is
independent of the distance they must travel.
|
Traveling Distance |
Third class |
Second class |
First class |
Total |
|
1-100 miles |
21 |
14 |
6 |
41 |
|
101-200 miles |
18 |
16 |
8 |
42 |
|
201-300 miles |
16 |
17 |
15 |
48 |
|
301-400 miles |
12 |
14 |
21 |
47 |
|
401-500 miles |
6 |
6 |
10 |
22 |
|
Total |
73 |
67 |
60 |
200 |
d |
What is the test statistic? |
e |
What can you conclude at the 5% level of
significance? |