Question

A two-sample t test of the hypothesis H_O: u₁-u₂=0 versus H_A: u₁-u₂>0 produces a p-value of 0.03. Which of the following must be true?

I. A 90 percent confidence interval for the difference in means will contain the value 0.

II. A 95 percent confidence interval for the difference in means will contain the value 0.

III. A 99 percent confidence interval for the difference in means will contain the value 0.

a.) I only

b.) III only

c.) I and III only

d.) II and III only

e.) I, II, and III

Answer 1

Two tailed p - value = 2*0.03 = 0.06

So,

95% and 99% confidence intervals will contain the value 0. Hence,

Option D is correct.