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.)
| Element | Population | Difference |
|---|
| 1 | 2 |
|---|
| 1 | 21 | 21 | |
| 2 | 28 | 28 | |
| 3 | 18 | 16 | |
| 4 | 20 | 18 | |
| 5 | 26 | 25 | |
(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.
