Question
23. In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 310 orders observed.
23. In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 310 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?
23a.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: p0.1
D.H0: p0.1
H1:p=0.1
23b. Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is =
(Round to two decimal places as needed.)
23c.Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is =
(Round to three decimal places as needed.)
23d. Identify the conclusion for this hypothesis test.
A. Reject H0. There is 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 not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
C. Reject H0. There is not 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 sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
23e. 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 unacceptable, so the restaurant should work to lower that rate.
C.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.
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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