In a study of the accuracy of fast food drive-through orders, one restaurant had 33 orders that were not accurate among 380 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?

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: p0.1

C. H0: p=0.1

H1: p<0.1

D. H0: p0.1

H1: p=0.1

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

enter your response here.

(Round to two decimal places as needed.)

Identify the P-value for this hypothesis test.

The P-value for this hypothesis test is

enter your response here.

(Round to three decimal places as needed.)

Identify the conclusion for this hypothesis test.

A.

Failtoreject

H0.

There

isnot

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.

B.

Reject

H0.

There

is

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.

C.

Failtoreject

H0.

There

is

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.

D.

Reject

H0.

There

isnot

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

isnot

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

isnot

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%.

Thisratewouldbetoohigh,

sotherestaurantshouldworktolowertherate.

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.