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 81%. Jennie, a food critic, would like to test this. She takes a sample of 150 patrons, and gets a 79.1% 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 81%? O Since the interval does not contain 81%, Jennie should reject the null hypothesis at a = 0.01. O Since the interval does not contain 81%, Jennie should not reject the null hypothesis at a = 0.01. O Since the interval contains 81%, Jennie should not reject the null hypothesis at a = 0.01. O Since the interval contains 81%, Jennie should reject the null hypothesis at a = 0.01.
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 81%. Jennie, a food critic, would like to test this. She takes a sample of 150 patrons, and gets a 79.1% 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 81%? O Since the interval does not contain 81%, Jennie should reject the null hypothesis at a = 0.01. O Since the interval does not contain 81%, Jennie should not reject the null hypothesis at a = 0.01. O Since the interval contains 81%, Jennie should not reject the null hypothesis at a = 0.01. O Since the interval contains 81%, Jennie should reject the null hypothesis at a = 0.01.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Transcribed Image Text: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 81%. Jennie, a food critic, would like to test this. She takes a sample of 150 patrons, and gets a 79.1% 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 81%?
O Since the interval does not contain 81%, Jennie should reject the null hypothesis at a = 0.01.
Since the interval does not contain 81%, Jennie should not reject the null hypothesis at a = 0.01.
Since the interval contains 81%, Jennie should not reject the null hypothesis at a = 0.01.
O Since the interval contains 81%, Jennie should reject the null hypothesis at a = 0.01.
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