Chapter 12.2, Problem 17E

Some colleges now allow students to pay their tuition using a credit card. The report “Credit Card Tuition Payment Survey 2014” (creditcards.com/credit-card-news/tuition-charge-fee-survey.php, retrieved May 27, 2017) includes data from a survey of 100 public 4-year colleges, 100 private 4-year colleges, and 100 community colleges. The accompanying table gives information on credit card acceptance for each of these samples of colleges. For purposes of this exercise, suppose that these three samples are representative of the populations of public 4-year colleges, private 4-year colleges, and community colleges in the United States. Is there convincing evidence that the proportions in each of the two credit card categories are not the same for all three types of colleges? Test the relevant hypotheses using a 0.05 significance level. (Hint: See Example 12.5.)