In a study of the accuracy of fast food​ drive-through orders, one restaurant had 37 orders...

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Statistics

In a study of the accuracy of fast food​ drive-through orders,one restaurant had 37 orders that were not accurate among 305orders observed. Use a 0.01 significance level to test the claimthat the rate of inaccurate orders is equal to​ 10%. Does theaccuracy rate appear to be​ acceptable?

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.

Fail to reject H0. There is sufficient evidence to warrantrejection of the claim that the rate of inaccurate orders is equalto​ 10%.

B. Fail to reject H0. There is not sufficient evidence towarrant rejection of the claim that the rate of inaccurate ordersis equal to​ 10%.

C. Reject H0. There is not sufficient evidence to warrantrejection of the claim that the rate of inaccurate orders is equalto​ 10%.

D. Reject H0. There is sufficient evidence to warrant rejectionof the claim that the rate of inaccurate orders is equal to​10%.

Does the accuracy rate appear to be​ acceptable?

A. Since there is not sufficient evidence to reject the claimthat the rate of inaccurate orders is equal to​ 10%, the restaurantshould work to higher that rate.

B. Since there is sufficient evidence to reject the claim thatthe rate of inaccurate orders is equal to​ 10%, the inaccuracy rateis​ unacceptable, so the restaurant should work to lower thatrate.

C.Since there is sufficient evidence to reject the claim thatthe rate of inaccurate orders is equal to​ 10%, the inaccuracy rateis acceptable.

D.Since there is not sufficient evidence to reject the claimthat the rate of inaccurate orders is equal to​ 10%, it isplausible that the inaccuracy rate is ​10%. This rate would be toohighThis rate would be too high​, the restaurant should work tolower the rate.

Answer & Explanation Solved by verified expert
4.1 Ratings (740 Votes)
Test statistic is z statistic because we always use z statisticwhen dealing with proportionsUsing TI 84 calculatorpress stat then tests then 1PropZtestenter the datapo 010x 37n 305prop    See Answer
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