The Marriott Company owns and operates a number of different hotel chains, including the Courtyard chain. Recently, a survey was mailed to a random sample of 400 Courtyard customers. A total of 62 customers responded to the survey. The customers were asked a number of questions related to their satisfaction with the chain as well as several demographic questions. Among the issues of interest was whether there is a relationship between the likelihood that customers will stay at the chain again and whether this was the customer€™s first stay at the Courtyard. The following contingency table has been developed from the data set contained in the file called CourtyardSurvey:

Using a significance level equal to 0.05, test to see whether these sample data imply a relationship between the two variables. Discuss the results.

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First Stay Stay Again? Yes No Total Delinitely Will Probably Will Maybe 18 15 21 20 18 3 Probably No Total 62