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  3. consider the following hypothesis test. h0: ?d ? 0

Consider the following hypothesis test. H0: ?d ? 0 Ha: ?d > 0 (a) The following data are from matched...

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Basic Math

Consider the following hypothesis test.

H0:?d ? 0

Ha:?d > 0

(a) The following data are from matched samples taken from twopopulations. Compute the difference value for each element. (UsePopulation 1 ? Population 2.)

ElementPopulationDifference
12
12121
22828
31816
42018
52625

(b) Compute d.

(c) Compute the standard deviationsd.

(d) Conduct a hypothesis test using ? = 0.05.

Calculate the test statistic. (Round your answer to threedecimal places.)

Calculate the p-value. (Round your answer to fourdecimal places.)

p-value =  

What is your conclusion?

Reject H0. There is sufficient evidence toconclude that ?d > 0.

Do not Reject H0. There is sufficientevidence to conclude that ?d> 0.

Reject H0. There is insufficient evidence toconclude that ?d > 0.

Do not reject H0. There is insufficientevidence to conclude that ?d> 0.

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