Question

Consider the following hypothesis test.

H₀:  ₁ -  ₂≤ 0
H_a:  ₁ -  ₂> 0

The following results are for two independent samples taken from the two populations.

Sample 1	Sample 2
n 1 = 30	n 2 = 70
x 1 = 25.6	x 2 = 22.2
σ 1 = 5.3	σ 2 = 7

a. What is the value of the test statistic (round to 2 decimals)?

b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places.

c. With  = .05, what is your hypothesis testing conclusion?

p-value is Selectgreater than or equal to 0.05, rejectgreater than 0.05, do not rejectless than or equal to 0.05, rejectless than 0.05, do not rejectequal to 0.05, rejectnot equal to 0.05, rejectItem 3 H₀

Answer 1