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
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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?
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothèsis test is
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
B.
Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
Does the accuracy rate appear to be acceptable?
O 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.
OC. 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: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? Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothèsis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? O 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. OC. 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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