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 80%. Jennie, a food critic, would like to test this. She takes a sample of 150 patrons, and gets a 78.9% sample satisfaction rating.
(a) Create an 98% confidence interval for the restaurant's true satisfaction rating. (Provide answers in decimal form, not percentage. Thus, 77.3% becomes 0.773. Round your answers to four decimal places, if needed.)
( ____ , ____ )
(b) Based on this confidence interval, should Jennie reject the null hypothesis that the satisfaction rating is 80%?
a) Since the interval contains 80%, Jennie should not reject the null hypothesis at a = 0.02.
b) Since the interval does not contain 80%, Jennie should not reject null hypothesis at a = 0.02.
c) Since the interval does not contain 80%, Jennie should reject the null hypothesis at a = 0.02.
d) Since the interval contains 80%, Jennie should reject the null hypothesis at a = 0.02.