In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 302 accurate orders and 65 that were not accurate. a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.161

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 302 accurate orders and 65
that were not accurate.
a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.161<p<0.239. What do you​ conclude?
 
a. No conclusion can be made because not enough information is given about the confidence interval for Restaurant 
 
B.
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.
 
C.
Since the two confidence intervals​ overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
 
D.
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.
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