A random sample of 529 college freshman found that 341 bought most of their textbooks from the college's bookstore. A random sample of 546 college seniors found that 366 bought their textbooks from the college's bookstore. You wish to test the claim that the proportion of all freshman that purchase most of their textbooks from the college's bookstore is less than the proportion of all seniors at a significance level of α=0.01. Round answers to 4 decimal places. Assume the freshman are group one and seniors are group two. Based on the hypotheses, find the following: Test Statistic =  Critical-value =

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