In: Statistics and Probability
In a study of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not accurate among 340 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.
Identify the test statistic for this hypothesis test.
Identify the P-value for this hypothesis test.
Identify the conclusion for this hypothesis test.
A.Reject Upper H 0H0. There is not sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
B. Reject Upper H 0H0. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.
C. Fail to reject Upper H 0H0. 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 H 0H0. 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 acceptable.
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 higher 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 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, the restaurant should work to lower the rate.
Conclusion :
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%.
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.