Question

Consider the following hypothesis test.

H₀: μ_d ≤ 0

H_a: μ_d > 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	21
2	28	28
3	18	16
4	20	18
5	26	25

(b) Compute d.

(c) Compute the standard deviation s_d.

(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?

Reject H₀. There is sufficient evidence to conclude that μ_d > 0.

Do not Reject H₀. There is sufficient evidence to conclude that μ_d > 0.

Reject H₀. There is insufficient evidence to conclude that μ_d > 0.

Do not reject H₀. There is insufficient evidence to conclude that μ_d > 0.

Answer 1