**Study of Fast Food Drive-Through Order Accuracy**---**Question 7.1.19-T**In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 accurate orders and 56 that were not accurate.**Instructions:**- **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: \(0.171 < p < 0.239\). What do you conclude?---**Solution:****a. Construct a 90% confidence interval. Express the percentages in decimal form.**\[ 0.148 < p < 0.221 \](Round to three decimal places as needed.)---**Explanation:**1. **Data for Restaurant A:** - Accurate orders: 248 - Inaccurate orders: 56 - Total orders: 3042. **Calculation of Proportion of Inaccurate Orders in Restaurant A:** \[ \hat{p} = \frac{56}{304} \approx 0.184 \]3. **Standard Error (SE):** \[ SE = \sqrt{\frac{\hat{p} \cdot (1 - \hat{p})}{n}} = \sqrt{\frac{0.184 \cdot (1 - 0.184)}{304}} \approx 0.023 \]4. **Margin of Error (ME) for 90% Confidence Level (Z \approx 1.645):** \[ ME = Z \cdot SE = 1.645 \cdot 0.023 \approx 0.038 \]5. **Confidence Interval:** \[ \hat{p} - ME < p < \hat{p} + ME \] \[ 0.184 - 0.038 < p < 0.184 + 0.038 \] \[ 0.148 < p < 0.221 \]---**b. Comparison with Restaurant B:**- Restaurant B's confidence interval: \(0.171 < p < 0.239\)- Restaurant A's confidence interval: \(0.148 < p < 0.221\

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Description: **Study of Fast Food Drive-Through Order Accuracy**---**Question 7.1.19-T**In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 accurate orders and 56 that were not accurate.**Instructions:**- **a.** Construct a 90% con

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HW Score: 41.85%, 3.77 of 9 pts & 7.1.19-T Question Help ▼ In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 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: 0.171

HW Score: 41.85%, 3.77 of 9 pts & 7.1.19-T Question Help ▼ In a study of the accuracy of fast food drive-through orders, Restaurant A had 248 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: 0.171

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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