Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following data are from matched samples...

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Basic Math

Consider the following hypothesis test.

H0:μd ≤ 0

Ha:μd > 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
12120
22828
31818
42018
52624

(b)

Compute

d.

(c)

Compute the standard deviation

sd.

(d)

Conduct a hypothesis test using

α = 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

μd > 0.

Do not Reject H0. There is sufficientevidence to conclude that

μd > 0.

     Do not rejectH0. There is insufficient evidence to concludethat

μd > 0.

Reject H0. There is insufficient evidence toconclude that

μd > 0.

Answer & Explanation Solved by verified expert
4.0 Ratings (802 Votes)
SolutionGiven null and alternative hypothesis areH0d 0Had 0First we create a table for    See Answer
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