Question #2

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 411 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Find the value of the test statistic.

The value of the test statistic is ___________.

(Round to two decimal places as needed.)

Question #6

In a study of 787 randomly selected medical malpractice lawsuits, it was found that 517 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be conducted?

A. H₀:p>0.5

H₁:p=0.5

B. H₀:p=0.5

H₁:p>0.5

C. H₀:p<0.5

H₁:p=0.5

D. H₀:p=0.5

H₁:p<0.5

E. H₀:p0.5

H₁:p=0.5

F. H₀:p=0.5

H₁:p0.5

What is the test statistic?

z= ____________

(Round to two decimal places as needed.)

What is the P-value?

P-value= __________.

(Round to three decimal places as needed.)

What is the conclusion about the null hypothesis?

A. Failtoreject the null hypothesis because the P-value is greaterthan the significance level, .

B. Failtoreject the null hypothesis because the P-value is lessthanorequalto the significance level, .

C. Reject the null hypothesis because the P-value is greaterthan the significance level, .

D. Reject the null hypothesis because the P-value is lessthanorequalto the significance level, .

What is the final conclusion?

A. There isnot sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

B. There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

C. There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

D. There isnot sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

Question #10

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

B. 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.

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

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

Question #17

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 =13.00 Mbps. The sample size is n=23 and the test statistic is t=2.588.

P-value= ___________.

(Round to three decimal places as needed.)