**Educational Website Content: Understanding Confidence Intervals in Fast Food Order Accuracy**### Study OverviewIn a study investigating the accuracy of fast food drive-through orders, Restaurant A processed 210 orders accurately and had 63 orders that were not accurate. The study aims to:1. Construct a 95% confidence interval estimate for the percentage of orders at Restaurant A that are not accurate.2. Compare the interval from part (a) to a given 95% confidence interval for the percentage of inaccurate orders at Restaurant B, which ranges from 0.202 to 0.303. ### Part (a): Constructing the Confidence IntervalTo construct the 95% confidence interval for Restaurant A’s percentage of inaccurate orders, we convert the percentage to a decimal format. We use the formula for constructing confidence intervals for proportions. *Note:* The actual computations are not shown here but reference standard statistical methods.\[ \hat{p} = \frac{x}{n} \]\[ \text{where: } \hat{p} = \text{proportion of inaccurate orders}, \]\[ x = \text{number of inaccurate orders}, \]\[ n = \text{total number of orders}. \]### Part (b): Analyzing and Comparing the Intervals**Choose the correct answer from the given options:**- **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 inaccurate orders than Restaurant A.- **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 inaccurate orders than Restaurant A.- **C.** Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.- **D.** No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.### Answer AnalysisBased on the given intervals:- The confidence interval for Restaurant B is provided as 0.202 to 0.303.- By comparing this interval to the one calculated for Restaurant A, conclusions can be drawn regarding the accuracy of the orders.**

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Description: **Educational Website Content: Understanding Confidence Intervals in Fast Food Order Accuracy**### Study OverviewIn a study investigating the accuracy of fast food drive-through orders, Restaurant A processed 210 orders accurately and had 63 orders

State the given values, n=210 x= 63 z at 95% confidence level = 1.96 Find the sample proportion:

Math

Statistics

In a study of the accuracy of fast food drive-through orders, Restaurant A had 210 accurate orders and 63 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: 0.202

In a study of the accuracy of fast food drive-through orders, Restaurant A had 210 accurate orders and 63 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: 0.202

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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