In a study of the accuracy of fast food​ drive-through orders, one restaurant had 40 orders that were not accurate among 321 orders observed. Use a 0.01 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 null and alternative hypotheses for this test. Choose the correct answer below. A. H0​: p≠0.1 H1​: p=0.1   B. H0​: p=0.1 H1​: p<0.1   C. H0​: p=0.1 H1​: p≠0.1   D. H0​: p=0.1 H1​: p>0.1 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 hypothesis test is _______ ​(Round to three decimal places as​ needed.)     Identify the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   B. Reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.   D. 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%.   Does the accuracy rate appear to be​ acceptable? A. 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.   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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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
321
orders observed. Use a
0.01
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 null and alternative hypotheses for this test. Choose the correct answer below.
A.
H0​:
p≠0.1
H1​:
p=0.1
 
B.
H0​:
p=0.1
H1​:
p<0.1
 
C.
H0​:
p=0.1
H1​:
p≠0.1
 
D.
H0​:
p=0.1
H1​:
p>0.1
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 hypothesis test is
_______
​(Round to three decimal places as​ needed.)
 
 
Identify the conclusion for this hypothesis test.
A.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
B.
Reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
C.
Fail to reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.
 
D.
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%.
 
Does the accuracy rate appear to be​ acceptable?
A.
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.
 
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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