Question

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

37

orders that were not accurate among

331

orders observed. Use a

0.01

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​:

p<0.1

C.

H0​:

p=0.1

H1​:

p>0.1

D.

H0​:

p≠0.1

H1​:

p=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.

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%.

B.

Reject

H0.

There

is not

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

C.

Fail to reject

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

is

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 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.

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

sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.

D.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.

Answer 1

In a 37 out of 331 onders are not accunale. study of the accuracy of fast-food drive thevogh ondens, So, sample proportion of non accurali order is . 37 30/12 331 We want to test the claim that, the healē of inaccurate ondersis equal to 10% ies palo Here, our null and alternative hypothe- Sis ares Ho: p=01 corred option (A) / colo 100 Since, against the peo1 np: 33140.10 = 33.1) 30 and ng 2 331 C1-0.10) - 297.9830 We should use a z test statistic here. The formula for test statistic is, 0:1/2 -0:10 -0.728 Z-= ² -P P(1-P) 0.1011-0:10) 331 m.

so, the test statistic is, 22[0.73 Now, since this is a both tuil test, Critical region lies in both the tuils, and also p value lies in both the tails. P-value is the probability that Z takes a more extreme value than obseqwed ies P-value=P(Z > 0 z> 0.73) + Plz2-073 22. P(Z > 0.73) I since both probabi lities are Sane] 20:4654 Since , p value > x=001 levelof significance we fail to reject Ho. There is not sufficient evidence to warrant sejuelion of the claim that the rate of inaccurate ondersis equal to 10 y. correct option is (A) 2 2x02327

Since there is not sufficient evidence to seeject the elain that the malê of inaccuate onders is equal to 109., it is plausible that inaccuracy rate is 10% The's rate would be too high- The susturant should work to lower the hate. Convict option is CA).