In a study of the accuracy of fast food drive-through orders, Restaurant A had 290 accurate orders and 56 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: 0.141

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In a study of the accuracy of fast food drive-through orders, Restaurant A had 290 accurate orders and 56 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:
0.141<p<0.215. What do you conclude?
a. Construct a 90% confidence interval. Express the percentages in decimal form.
<p<
(Round to three decimal places as needed.)
b. Choose the correct answer below.
O A. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
O B. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not
accurate.
O C. 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.
O 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.
Transcribed Image Text:In a study of the accuracy of fast food drive-through orders, Restaurant A had 290 accurate orders and 56 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: 0.141<p<0.215. What do you conclude? a. Construct a 90% confidence interval. Express the percentages in decimal form. <p< (Round to three decimal places as needed.) b. Choose the correct answer below. O A. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B. O B. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. O C. 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. O 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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