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In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 301 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? CHIED

In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 301 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? CHIED

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
Section: Chapter Questions
Problem 25SGR
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**Hypothesis Testing: Analyzing Fast Food Drive-Through Accuracy** **Study Overview:** In a study evaluating the accuracy of fast food drive-through orders, one restaurant had 40 inaccurate orders out of 301 observed orders. With a significance level of 0.05, we test whether the inaccuracy rate is equal to 10%. **Questions and Instructions:** 1. **Test Statistic Identification:** - Identify the test statistic for this hypothesis test. (Round to two decimal places as needed.) 2. **P-value Determination:** - Identify the P-value for this hypothesis test. (Round to three decimal places as needed.) 3. **Hypothesis Conclusion:** - Identify the conclusion for this hypothesis test: - **A.** Fail to reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **B.** Reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **C.** Fail to reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **D.** Reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. **Evaluation of Acceptability:** - **A.** Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is unacceptable, so the restaurant should work to lower that rate. - **B.** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, it is plausible that the inaccuracy rate is 10%. This rate would be too high, so the restaurant should work to lower the rate. - **C.** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant should work to increase that rate. - **D.** Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is acceptable.
Transcribed Image Text:**Hypothesis Testing: Analyzing Fast Food Drive-Through Accuracy** **Study Overview:** In a study evaluating the accuracy of fast food drive-through orders, one restaurant had 40 inaccurate orders out of 301 observed orders. With a significance level of 0.05, we test whether the inaccuracy rate is equal to 10%. **Questions and Instructions:** 1. **Test Statistic Identification:** - Identify the test statistic for this hypothesis test. (Round to two decimal places as needed.) 2. **P-value Determination:** - Identify the P-value for this hypothesis test. (Round to three decimal places as needed.) 3. **Hypothesis Conclusion:** - Identify the conclusion for this hypothesis test: - **A.** Fail to reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **B.** Reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **C.** Fail to reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. - **D.** Reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. **Evaluation of Acceptability:** - **A.** Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is unacceptable, so the restaurant should work to lower that rate. - **B.** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, it is plausible that the inaccuracy rate is 10%. This rate would be too high, so the restaurant should work to lower the rate. - **C.** Since there is not sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant should work to increase that rate. - **D.** Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is acceptable.
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