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Question #7 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

Question #7

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=1.691.

P-value= ________

(Round to three decimal places as needed.)

Question #8

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?

702 7391134603568484

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 requirement is met since most sample measurements are less 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 results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.

D. 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.

Question #9

A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 137 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

What are the null and alternative hypotheses?

A. H0:p=0.27

H1:p>0.27

B. H0:p0.27

H1:p>0.27

C. H0:p0.27

H1:p=0.27

D. H0:p0.27

H1:p<0.27

E. H0:p=0.27

H1:p0.27

F. H0:p=0.27

H1:p<0.27

What is the test statistic?

z= _________

(Round to two decimal places as needed.)

What is the P-value?

P-value= _________

(Round to four decimal places as needed.)

What is the conclusion about the null hypothesis?

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

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

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

D. Failtoreject 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 less than 27% of offspring peas will be yellow.

B. There isnot sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.

C. There is sufficient evidence to support the claim that less than 27% of offspring peas will be yellow.

D. There is sufficient evidence to warrant rejection of the claim that 27% of offspring peas will be yellow.

Question #12

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

Original claim: Less than 46% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1993.

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 lessthanorequalto .

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

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

D. Reject H0 because the P-value is greaterthan .

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

A. The percentage of adults that would erase all of their personal information online if they could is more than or equal to 46%.

B. The percentage of adults that would erase all of their personal information online if they could is less than 46%.

C. 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 46%.

D. 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 46%.

Question #16

Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 622 randomly selected adults showed that 45% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below.

a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

__________ (A. , B. , C. p) _________ (A. , B. >, C. =, D. <)_____________

(Type an integer or a decimal. Do not round.)

b. Identify the null and alternative hypotheses.

H0: _________ ( A. , B. C. p ) __________ (A. , B. >, C. < D. = ) ____________

H1: _________ ( A. , B. , C. p) __________ ( A. >, B. , C. =, D. < ) ____________

(Type integers or decimals. Do not round.)

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