Cung Le, a marketing consultant for a travel agency wants to determine whether travel concerns are related to travel purpose. The contingency table shows the results of a random sample of 300 travelers classified by their primary travel concerns and travel purpose. At alpha =0.01, can Amitabh conclude that the travel concerns depend on the purpose of travel? The observed frequencies (Table 1) and expected frequencies (Table 2) are provided. Table 1 Business Leisure Hotel room 36 38 Legroom on plane 108 54 Rental car size 14 14 Other 22 14 Total 180 120
Cung Le, a marketing consultant for a travel agency wants to determine whether travel concerns are related to travel purpose. The
Table 1
|
|
Business |
Leisure |
|
Hotel room |
36 |
38 |
|
Legroom on plane |
108 |
54 |
|
Rental car size |
14 |
14 |
|
Other |
22 |
14 |
|
Total |
180 |
120 |
Table 2
|
|
Business |
Leisure |
|
Hotel room |
44.4 |
29.6 |
|
Legroom on plane |
97.2 |
64.8 |
|
Rental car size |
16.8 |
11.2 |
|
Other |
21.6 |
14.4 |
|
Total |
180 |
120 |
Determine the Test statistic and the decision.
The test statistic is . We the null hypothesis
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