Consider the following hypothesis test H0 1 2 0 Ha 1 2 0

Consider the following hypothesis test.

H₀: ₁ - ₂ 0
H_a: ₁ - ₂ > 0

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

b. What is the p-value (round to 4 decimals)?

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

p-value greater than 0.05, do not reject- Select your answer -greater 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

Solution

H0: mu1-mu2 <=0

Ha: mu1-mu2 >0

Right tailed test for comparison of two means

The mean of Group One minus Group Two equals 2.400
  95% confidence interval of this difference: From -13.827 to 18.627

t = 0.2939
  df = 88
  standard error of difference = 8.165

p value = 0.3847

As p value >0.05, we accept null hypothesis.

Do not reject H0.