A recent study says that 71% of first-year college students live in the dorm. In a random sample of first-year students at a state university, it is found that 136 of 200 of the first-year students sampled live in the dorm.

1. Is there sufficient evidence at the 5% level that the proportion of all first-year students at this university who live in the dorm is less than the national value of 71%? Use statistical evidence to back your claim.
2. If you reject the Null in part a, at what level would you fail to reject it? If you fail to reject the Null in part a, at what level would you have rejected it?