Based on data from two very large independent samples, two students tested a hypothesis about
Equality of population means using $$\alpha = 0.02$$
2) One student used a one-tail test and rejected the null
Hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might
Have been their calculated value of t?
A) 1.22
B) 2.66
C) 1.55
D) 1.88
E) 2.22

Question

Quizplus · Accepted Answer

For a one-tail test at $\alpha = 0.02$, the critical value of t is lower than for a two-tail test. A t-value of 2.22 could be significant in a one-tail test but not in a two-tail test, explaining why one student rejected the null hypothesis while the other did not.

Based on Data from Two Very Large Independent Samples, Two α=0.02\alpha = 0.02α=0.02

Based on Data from Two Very Large Independent Samples, Two $\alpha = 0.02$