1.A grocery store determines that a coupon program is worthwhile if they can get more than 30% of their customers to use the program. They take a sample of 1,000 customers and within that sample 320 customers use coupons that are given to them. Use the hypothesis testing framework to provide a recommendation to the company. Note, please use the format described above to answer this problem.

(b) To do the previous problem correctly, you had to rely on the CLT. Explain why it is reasonable to use the CLT for the previous problem.