In a study of the accuracy of fast food​ drive-through orders, one restaurant had 39 orders that were not accurate among 335 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?     1. Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is ____   ​(Round to two decimal places as​ needed.)     2.Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is ____   ​(Round to three decimal places as​ needed.)     3. Identify the conclusion for this hypothesis test.   A. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.     4. Does the accuracy rate appear to be​ acceptable?   A. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.   B. 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.   C. 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. Your answer is correct.   D. 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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a study of the accuracy of fast food​ drive-through orders, one restaurant had 39 orders that were not accurate among 335 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?
 
 
1. Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is ____
 
​(Round to two decimal places as​ needed.)
 
 
2.Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is ____
 
​(Round to three decimal places as​ needed.)
 
 
3. Identify the conclusion for this hypothesis test.
 
A. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
 
4. Does the accuracy rate appear to be​ acceptable?
 
A. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.
 
B. 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.
 
C. 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. Your answer is correct.
 
D. 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.
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