Suppose a research group wants to determine whether people are more likely to become vegetarian if born in a vegan family. They survey inside of the campus. Among the 600 people the group interviewed, 370 of them were born in a non-vegan environment while 230 of them do. 44 of 370 people from the non-vegan family become vegetarian; 87 of 230 people from the vegan family eventually become vegetarian.

1. Conduct a hypothesis test to determine if vegan families lead to more vegetarians. (significant level of 0.05)

2. Build a 95% confidence interval for the difference between a vegan family and a non-vegan family.