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The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own 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 and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let Pespresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso -Pcofte =0 and H, Pespresso -Pcofe < 0? Find the z-table here. 0.30 -0.48 P- value = 0.033 (0.39(0.61). (0.3910.61) + 50 50 0.30 -0.48 ,P- value = 0.033 (0.30)(0.70) , (0.48)(0.52) 50 50 0.48 -0.30 .P- value = 0.033 |(0.39)(0.61) , (0.39[0.61) 50 50 0.30-0.48 ,P- value = 0.066 (0.30)(0.70) (0.48)(0.52) + 50 50

The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own 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 and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let Pespresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso -Pcofte =0 and H, Pespresso -Pcofe < 0? Find the z-table here. 0.30 -0.48 P- value = 0.033 (0.39(0.61). (0.3910.61) + 50 50 0.30 -0.48 ,P- value = 0.033 (0.30)(0.70) , (0.48)(0.52) 50 50 0.48 -0.30 .P- value = 0.033 |(0.39)(0.61) , (0.39[0.61) 50 50 0.30-0.48 ,P- value = 0.066 (0.30)(0.70) (0.48)(0.52) + 50 50

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own 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 and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso - Pcoftee =0 and H, PEspresso - Pcoft < 0? Find the z-table here. 0.30 -0.48 O z .P-value =0.033 (0.39(0.61), (0.39)(0.61) 50 50 0.30-0.48 (0.30)(0.70) , (0.48)(0.52) O z= P-value = 0.033 50 50 0.48 - 0.30 (0.39(0.61), (O.3910.61) ,P- value = 0.033 50 50 0.30-0.48 O z=- P- value = 0.066 (0.30)(0.70), (0.48)(0.52) + 50 50
Transcribed Image Text:The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own 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 and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso - Pcoftee =0 and H, PEspresso - Pcoft < 0? Find the z-table here. 0.30 -0.48 O z .P-value =0.033 (0.39(0.61), (0.39)(0.61) 50 50 0.30-0.48 (0.30)(0.70) , (0.48)(0.52) O z= P-value = 0.033 50 50 0.48 - 0.30 (0.39(0.61), (O.3910.61) ,P- value = 0.033 50 50 0.30-0.48 O z=- P- value = 0.066 (0.30)(0.70), (0.48)(0.52) + 50 50
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