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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) State the alternative hypothesis. O Ha: H2-yr # H4-yr O Ha: M2-yr = H4-yr O Ha: H2-yr > H4-yr O Ha: H2-yr