In a study of the accuracy of fast food​ drive-through orders, one restaurant had 40 orders that were not accurate among 319 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 null and alternative hypotheses for this test. Choose the correct answer below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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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
319
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 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.
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.
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%.
 
D.
Reject
H0.
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?
 
 
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​,
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 higher 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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