In a study of the accuracy of fast food drive-through orders, one restaurant had
30
orders that were not accurate among
399
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.
Upper H 0
p equals= 0.1
Upper H1:
p does not equal≠ 0.1
B.
Upper H 0H0:
p does not equal≠0.1
Upper H1:
p equals=0.1
C.
Upper H0:
p equals=0.1
Upper H1:
p less than< 0.1
D.
Upper H0:
p equals= 0.1
Upper H1:
p greater than>0.1
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
nothing.
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
nothing.
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
A.
RejectReject
Upper 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
Upper H0.
There
is
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
C.
Reject
Upper 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
Upper 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
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
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 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 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, the restaurant should work to lower the rate.
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