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 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Conduct a hypothesis test at the 5% level. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) = .05 (ii) Decision: reject the null hypothesis do not reject the null hypothesis (iii) Reason for decision: Since p-value < , we reject the null hypothesis. Since p-value > , we reject the null hypothesis. Since p-value < , we do not reject the null hypothesis. Since p-value > , we do not reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to show that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States. There is not sufficient evidence to show that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States