23
RCMultiple Choice

Unit Test — Cumulative exam

Question 23 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

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 pCoffeee= 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, Find the z-table here.

Question illustration
Answer
A
z = StartStartFraction 0.30 minus 0.48 OverOver StartRoot StartFraction (0.39) (0.61) Over 50 EndFraction + StartFraction (0.39) (0.61) Over 50 EndFraction EndRoot EndEndFraction, P-value = 0.033
Option A
B
z = StartStartFraction 0.30 minus 0.48 OverOver StartRoot StartFraction (0.30) (0.70) Over 50 EndFraction + StartFraction (0.48) (0.52) Over 50 EndFraction EndRoot EndEndFraction, P-value = 0.033
Option B
C
z = StartStartFraction 0.48 minus 0.30 OverOver StartRoot StartFraction (0.39) (0.61) Over 50 EndFraction + StartFraction (0.39) (0.61) Over 50 EndFraction EndRoot EndEndFraction, P-value = 0.033
Option C
D
z = StartStartFraction 0.30 minus 0.48 OverOver StartRoot StartFraction (0.30) (0.70) Over 50 EndFraction + StartFraction (0.48) (0.52) Over 50 EndFraction EndRoot EndEndFraction, P-value = 0.066
Option D
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