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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 82%

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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 82%. Jennie, a food critic, would like to test this. She takes a sample of 146 patrons, and gets a 76.6% sample satisfaction rating. (a) Create a 99% 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 82%? O Since the interval contains 82%, Jennie should reject the null hypothesis at a = 0.01. O Since the interval contains 82%, Jennie should not reject the null hypothesis at a = 0.01. O Since the interval does not contain 82%, Jennie should reject the null hypothesis at a = 0.01. O Since the interval does not contain 82%, Jennie should not
reject the null hypothesis at a = 0.01.