A student at a fouryear 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 5,608 with a standard deviation of 765. Of the 35 two-year colleges surveyed, the mean enrollment was 5,611 with a standard deviation of 510. Test the'student's claim at the 0.01 significance level. Preliminary: a. [sit safe to assume that 71.4\" S 5 % of all students enrolled at a 4-year college in the Unites States and my, 3 5 '70 of all enrolled at a 2year college in the Unites States? Yes No b. is rum. 2 30 and n21\" 2 30? Yes No Test the claim: a. Determine the null and alternative hypotheses. N H01 Mgr ? szr Ha: #4311" 7 9 \"21 b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. d. Make a decision. crampi- Han nll\" hunnfhps'iS