In a study of the accuracy of fast food​ drive-through orders, one restaurant had 31 orders that were not accurate among 355 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?       Question content area bottom Part 1 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 Your answer is correct.   D. H0​: p=0.1 H1​: p>0.1 Part 2 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is negative 0.80−0.80. ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is 0.4240.424. ​(Round to three decimal places as​ needed.) Part 4 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. 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%. Your answer is correct. Part 5 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%, the restaurant should work to increase that rate.   C. Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.   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​,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
In a study of the accuracy of fast food​ drive-through orders, one restaurant had
31
orders that were not accurate among
355
orders observed. Use a
0.10
significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?
 
 
 

Question content area bottom

Part 1
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
Your answer is correct.
 
D.
H0​:
p=0.1
H1​:
p>0.1
Part 2
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
negative 0.80−0.80.
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
0.4240.424.
​(Round to three decimal places as​ needed.)
Part 4
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.
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%.
Your answer is correct.
Part 5
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%, the restaurant should work to increase that rate.
 
C.
Since there
is
sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.
 
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​, 
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