Some colleges now aw students to pay their tution using a credit card. A report includes data from a survey of 100 public -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 Does Not Accept Credit Cards for Tuition Payment Public 4-Year Colleges Private 4-Year Colleges Accepts t Cards for T Payment RS 43 100 15 31 Community Caltegeக for purposes of this exercise, suppose that these three samples are representative of the populations of public 6-year colleges private dar cueges 0 Since this problem wants to find of the proportion in each of the two credit card categories are not all the same for all three types of colleges, we must translate the question of interest to the Select the appropriate mult and aternative hypotheses The proportions fatting into each of the two credit card categories are the same for all three types of colleges The proportions falling into each of the two credit card categories are not the same for all three types of colleges The proportions talling into each of the two credit card categories are not different for all three types of colleges The proporttaling into each of the two credit card categories are different for all three types of colleges O The proportions tatting into each of the two credit card categories are different for all three types of colleges The proportions fating into each of the two credit card categories are not different for all three types of colleges OH The proportions falling to each of the two credit card categories are not the same for all three types of co The proportions falling into each of the two credit card categories are the same for all three types of o evidence that the proportions each of the two credit car categories are not the same for all three types of colleges? Test the releva 0.05 significance level (See Example 12.5)