A survey was conducted two years ago asking college students their top motivation for using a credit card. To determine whether the distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use
α
= 0.5.

Response Old Survey % New Survey Frequency, f
Rewards 29% 112
Low Rates 23% 97
Cash Back 22% 108
Discounts 7% 47
Other 19% 61
(a) What is the null hypothesis and alternative hypothesis, and which one is claimed?

(b) Determine the critical value and rejection region.

(c) Calculate the test statistic.

(d) Reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim.