a. Construct a 90% confidence interval. Express the percentages in decimal form.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![In a study of the accuracy of fast food drive-through orders, Restaurant A had 333 accurate orders and 74 that were not accurate.
**a. Construct a 90% confidence interval. Express the percentages in decimal form.**
\[ \square < p < \square \]
(Round to three decimal places as needed.)
**b. Choose the correct answer below.**
- **A.** The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.
- **B.** Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
- **C.** No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
- **D.** Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4a4f967-2c76-4bed-bb86-95ccb6b747a5%2F2869d5e5-1cd3-43a3-98f0-3177a47c29e3%2Fzjbql3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a study of the accuracy of fast food drive-through orders, Restaurant A had 333 accurate orders and 74 that were not accurate.
**a. Construct a 90% confidence interval. Express the percentages in decimal form.**
\[ \square < p < \square \]
(Round to three decimal places as needed.)
**b. Choose the correct answer below.**
- **A.** The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.
- **B.** Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
- **C.** No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
- **D.** Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.
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