The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own cup compared with 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. The P-value for this significance test is 0.033. Which of the following is the correct conclusion for this test of the hypotheses The owner should reject the null hypothesis since 15

Question

The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own cup compared with 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. The P-value for this significance test is 0.033. Which of the following is the correct conclusion for this test of the hypotheses The owner should reject the null hypothesis since 15 < 24. There is convincing evidence that the true proportion of customers who drink espresso and use their own cup is significantly less than the true proportion of customers who drink coffee and use their own cup.The owner should reject the null hypothesis since 0.033 < 0.05. There is convincing evidence that the true proportion of customers who drink espresso and use their own cup is significantly less than the true proportion of customers who drink coffee and use their own cup.The owner should fail to reject the null hypothesis since 15 < 24. There is not convincing evidence that the true proportion of customers who drink espresso and use their own cup is significantly less than the true proportion of customers who drink coffee and use their own cup.The owner should fail to reject the null hypothesis since 0.033 < 0.05. There is not convincing evidence that the true proportion of customers who drink espresso and use their own cup is significantly less than the true proportion of customers who drink coffee and use their own cup. The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their owncup compared with customers who drink coffee. Customers using their own cups get a 5% discount, which isdisplayed on the receipt. The owner randomly selects 50 receipts from all espresso purchases and 50 receiptsfrom all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. Forcoffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion ofcustomers who drink espresso and use their own cup and pCoffeee = the true proportion of customers who drinkcoffee and use their own cup. The P-value for this significance test is 0.033. Which of the following is the correctconclusion for this test of the hypotheses H,: PEspresso.-Pcoffeee =0 and H: PEspresso - Pcoffee <0 at the a = 0.05 level?The owner should reject the null hypothesis since 15 < 24. There is convincing evidence that the true proportioncustomers who drink espresso and use their own cup is significantly less than the true proportion of customerswho drink coffee and use their own cup.The owner should reject the null hypothesis since 0.033 < 0.05. There is convincing evidence that the trueproportion of customers who drink espresso and use their own cup is significantly less than the true proportion ofcustomers who drink coffee and use their own cup.O The owner should fail to reject the null hypothesis since 15 < 24. There is not convincing evidence that the trueproportion of customers who drink espresso and use their own cup is significantly less than the true proportion ofcustomers who drink coffee and use their own cup. from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. Forcoffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion ofcustomers who drink espresso and use their own cupandРCoffeeethe true proportion of customers who drink%3Dcoffee and use their own cup. The P-value for this significance test is 0.033. Which of the following is the correctconclusion for this test of the hypotheses H,: PEspresso -PCoffeee = 0 and H: PEspresso -PCoffee < O at the a = 0.05 level?The owner should reject the null hypothesis since 15 < 24. There is convincing evidence that the true proportioncustomers who drink espresso and use their own cup is significantly less than the true proportion of customerswho drink coffee and use their own cup.The owner should reject the null hypothesis since 0.033 < 0.05. There is convincing evidence that the trueproportion of customers who drink espresso and use their own cup is significantly less than the true proportion ofcustomers who drink coffee and use their own cup.The owner should fail to reject the null hypothesis since 15 < 24. There is not convincing evidence that the trueproportion of customers who drink espresso and use their own cup is significantly less than the true proportion ofcustomers who drink coffee and use their own cup.The owner should fail to reject the null hypothesis since 0.033 < 0.05. There is not convincing evidence that thetrue proportion of customers who drink espresso and use their own cup is significantly less than the true proportioof customers who drink coffee and use their own cup.

Accepted Answer

H0: pEspresso - pCoffeee = 0
H1: pEspresso - pCoffeee < 0
P-value = 0.033
Alpha = 0.05