Exercise 43 compares the responses of customers in a survey depending on how a question about their satisfaction with their car was phrased. (a) Quantify the amount of association between the type of...

Exercise 43 compares the responses of customers in a survey depending on how a question about their satisfaction with their car was phrased.

(a) Quantify the amount of association between the type of question and the degree of satisfaction.

(b) Combine the counts of very satisfied with somewhat satisfied, and very dissatisfied with somewhat dissatisfied, so that the table has only two rows rather than four. What happens to the degree of association if the table merges the satisfied categories into only two rows rather than four?

Exercise 43

Owner Satisfaction A marketing survey of car owners was presented in two ways.¹¹
One wording asked the customer whether he was satisfied with his car. The other asked the customer whether he was dissatisfied. The data table has two variables, one indicating the wording of the question and one giving the level of reported satisfaction.

(a) Find the contingency table defined by the level of satisfaction and the wording of the question. Include the marginal distributions.

(b) Which group reported being more satisfied (either very satisfied or somewhat satisfied) with their cars?

(c) If a company wants to produce an ad citing this type of survey of its customers, how should it word the question?