Consider the following hypothesis test. H0: μd ≤ 0
Ha: μd > 0
(a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)
Element Population Difference
1 2
1 21 19
2 28 28
3 18 17
4 20 18
5 26 26
(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 three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Do not Reject H0. There is sufficient evidence to conclude that
μd > 0.
Reject H0. There is sufficient evidence to conclude that
μd > 0.
Reject H0. There is insufficient evidence to conclude that
μd > 0.
Do not reject H0. There is insufficient evidence to conclude that
μd > 0.