0 Question 2 v 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 5,489 with a standard deviation of 735. Of the 35 two-year colleges surveyed, the mean enrollment was 4,088 with a standard deviation of 467. Test the student's claim at the 0.1 significance level. Preliminary: a. Is it safe to assume that 1149,. S 5 % of all students enrolled at a 4-year college in the Unites States and 112,, S 5 % of all enrolled at a 2-year college in the Unites States? Yes No b. Is my. 2 30 and my, 2 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: my. #2,..- H: #14me23 b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. d. Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. There is not sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. Question Help: 8 Message instructor