Consider the following hypothesis test.
H0: μ1 - μ2 ≤ 0
Ha: μ1 - μ2 > 0
The following results are for two independent samples taken from the two populations.
Sample 1: n1 = 45, x̄1 = 25.7, σ1 = 4.9
Sample 2: n2 = 50, x̄2 = 22.7, σ2 = 7.0
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-value rounded to 2 decimal places.
c. With α = 0.05, what is your hypothesis testing conclusion?
p-value is [Select your answer] H0
greater than 0.05, do not reject
less than or equal to 0.05, reject