Question: Referring to Problem, can the quality control manager conclude that the type of warranty problem is independent of the shift on which the alarm was manufactured? Test using a significance level of 0.05. Discuss your results.

Problem: 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 Courtyard Survey:

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.