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

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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

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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