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A student at a four-year college claims that average 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 average enrollment was 5062 with a standard deviation of 4771. Of the 35 four-year colleges surveyed, the average enrollment was 5566 with a standard deviation of 8141. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) + Part (b) + Part (c) + Part (d) + Part (e) + Part (f) + Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha: Of = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: Since p-value > a, we do not reject the null hypothesis. Since p-value > a, we reject the null hypothesis. Since p-value