A local five-star restaurant asks its patrons to fill out a quick satisfaction survey (is the patron satisfied or not) after their meal, and the restaurant claims that their satisfaction rating is 84%. Jennie, a food critic, would like to test this. She takes a sample of 121 patrons, and gets a 77.1% sample satisfaction rating. 

(a) Create a 99% confidence interval for the restaurant's true satisfaction rating. 

(b) Based on this confidence interval, should Jennie reject the null hypothesis that the satisfaction rating is 84%? 

Since the interval does not contain 84%, Jennie should reject the null hypothesis at a = 0.01. 

Since the interval contains 84%, Jennie should reject the null hypothesis at a = 0.01. 

Since the interval contains 84%, Jennie should not reject the null hypothesis at a = 0.01. 

Since the interval does not contain 84%, Jennie should not reject the null hypothesis at a = 0.01.