In a study of the accuracy of fast food drive-through orders, Restaurant A had 254 accurate orders and 61 that were not accurate. a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.176
In a study of the accuracy of fast food drive-through orders, Restaurant A had 254 accurate orders and 61 that were not accurate. a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.176
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Question
In a study of the accuracy of fast food drive-through orders, Restaurant A had
254
accurate orders and
61
that were not accurate.a. Construct a
interval estimate of the percentage of orders that are not accurate.
90%
confidence b. Compare the results from part (a) to this
90%
confidence interval for the percentage of orders that are not accurate at Restaurant B:
0.176<p<0.249.
What do you conclude?a. Construct a
90%
confidence interval. Express the percentages in decimal form.nothing<p<nothing
(Round to three decimal places as needed.)b. Choose the correct answer below.
Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
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.
No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
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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