In a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 351 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?   a. Identify the null and alternative hypotheses for this test   b.Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ​(Round to two decimal places as​ needed.) c. Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is ​(Round to three decimal places as​

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In a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 351 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?

 

a. Identify the null and alternative hypotheses for this test

 

b.Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is ​(Round to two decimal places as​ needed.)

c. Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is
​(Round to three decimal places as​ needed.)
 
d. Identify the conclusion for this hypothesis test.
 
A.Fail to reject Upper H 0. 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 Upper H 0.There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
C. Reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
D. Reject Upper H 0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
e. Does the accuracy rate appear to be​ acceptable?
 
A.Since thereis 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.
 
B.Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.
 
C.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.
 
D.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.
 
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