some colleges now allow students to pay their tuition using a credit card. a report includes data from a survey of 100 public four year colleges, 100 private four year colleges, and 100 community colleges. the accompanying table gives information on credit card acceptance for each of these samples of colleges.

accepts credit card for tuition payment does not accept credit card for tuition payment

public four year college 95 5

private four year colleges 68 32

community colleges 99 1

for the purpose of this exercise suppose that these three samples are representative of the populations of public four year colleges, private four year colleges, and community colleges in the US. is there convincing evidence that the proportion in each of the two credit card categories are not the same for all three types od colleges? test the relevant hypothesis using a 0.05 significance level.

find the test statistic and P value. use SALT. round your test statistic to three decimal places and your P value to four decimal places.