Question

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 241 accurate orders and 70 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: 0.208less thanpless than0.297. What do you​ conclude?

a. Construct a 95​% confidence interval. Express the percentages in decimal form. nothingless thanpless than nothing ​(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 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. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B. D. Since the two confidence intervals​ overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.

Answer 1

Solution:-

a) 95​% confidence interval estimate of the percentage of orders that are not accurate is C.I = (0.182,0.275).

b)

Confidence interval for restaurant B = (0.208, 0.297).

(D) Since the two confidence intervals​ overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.