The owner of a popular coffee shop believes that customers who drink espresso are less likely to use theirown cup compared to customers who drink coffee. Customers using their own cups get a 5% discount,which is displayed on the receipt. The owner randomly selects 50 receipts from all espresso purchases and50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer usedtheir own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= thetrue proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion ofcustomers who drink coffee and use their own cup. Which of the following is the correct standardized teststatistic and P-value for the hypotheses, Ho: PEspresso - Pcoftee =0 and H, PEspresso - Pcoft < 0?Find the z-table here.0.30 -0.48O z.P-value =0.033(0.39(0.61), (0.39)(0.61)50500.30-0.48(0.30)(0.70) , (0.48)(0.52)O z=P-value = 0.03350500.48 - 0.30(0.39(0.61), (O.3910.61),P- value = 0.03350500.30-0.48O z=-P- value = 0.066(0.30)(0.70), (0.48)(0.52)+5050

Answered: The owner of a popular coffee shop…

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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The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58/ 0.48(1–0.48) , 0.36(1–0.36) 50 50 0.48(1-0.48) 0.36(1-0.36) (0.48 - 0.36) ±2.33/ 50 50 O (0.52 - 0.64)±2.58 0.52(1-0.52) 0.64(1-0.64) + 100 100 0.52(1-0.52) ,…
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