A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8, 191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0. 10 significance level. a) The null and alternative hypothesis would be: Ho : PF = PT H1 : PF > PT OHO : HF = HT H1 : UF UT Ho : PF = PT H1 : PF