a. Construct a 95% confidence interval. Express the percentages in decimal form. O

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In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 accurate orders and 72 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: \(0.201 < p < 0.298\). What do you conclude?

a. Construct a 95% 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. 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.

- B. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.

- 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.
Transcribed Image Text:In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 accurate orders and 72 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: \(0.201 < p < 0.298\). What do you conclude? a. Construct a 95% 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. 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. - B. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B. - 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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