Question #11

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

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What are the hypotheses?

A. H₀: >1000 hic

H₁: <1000 hic

B. H₀: =1000 hic

H₁: <1000 hic

C. H₀: <1000 hic

H₁: 1000 hic

D. H₀: =1000 hic

H₁: 1000 hic

Identify the test statistic.

t= __________

(Round to three decimal places as needed.)

Identify the P-value.

The P-value is _________

(Round to four decimal places as needed.)

State the final conclusion that addresses the original claim.

___________ ( A. Fail to reject, B. Reject ) H₀. There is _________ ( A. insufficient, B. sufficient)

evidence to support the claim that the sample is from a population with a mean less than 1000 hic.

What do the results suggest about the child booster seats meeting the specified requirement?

A. The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.

B. There is strong evidence that the mean is less than 1000 hic, but one of the booster seats has a measurement that is greater than 1000 hic.

C. The requirement is met since most sample measurements are less than 1000 hic.

D. There isnot strong evidence that the mean is less than 1000 hic, and

one of the booster seats has a measurement that is greater than 1000 hic.

Question #14

Assume a significance level of =0.05 and use the given information to complete parts (a) and (b) below.

Original claim: Less than 43% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0211.

a. State a conclusion about the null hypothesis. (Reject H₀ or fail to reject H₀.) Choose the correct answer below.

A. Failtoreject H₀ because the P-value is greaterthan .

B. Reject H₀ because the P-value is lessthanorequalto .

C. Reject H₀because the P-value is greaterthan .

D. Failtoreject H₀ because the P-value is lessthanorequalto .

b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?

A. There isnot sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 43%.

B. The percentage of adults that would erase all of their personal information online if they could is less than 43%.

C. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 43%.

D. The percentage of adults that would erase all of their personal information online if they could is more than or equal to 43%.

Question #15

In a study of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not accurate among 318 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: p0.1

B. H₀: p=0.1

H₁: p>0.1

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 __________

(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. Failtoreject H₀. There isnot sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.

B. Failtoreject H₀. There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.

C. 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 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%, it is plausible that the inaccuracy rate is 10%. Thisratewouldbetoohigh sotherestaurantshouldworktolowertherate.

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

C. 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.

D. 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.

Question #16

Use technology to find the P-value for the hypothesis test described below.

The claim is that for a smartphone carrier's data speeds at airports, the mean is =12.00

Mbps. The sample size is n=24 and the test statistic is t=1.106.

P-value= __________

(Round to three decimal places as needed.)