You do a Students t-test to compare the average test scores of sample groups from populations A and B. Group A averaged 10 points higher than group B. You find that this difference is significant, with a p-value of 0.03. What does that mean?
A.
There is a 3% chance that you have identified a difference between the populations when in reality there is none.
B.
The difference in scores between a sample from population A and a sample from population B will tend to be within 3% of 10 points.
C.
There is a 3% chance that a sample group from population A will score 10 points higher that a sample group from population B.
D.
There is a 97% chance that a sample group from population A will score 10 points higher that a sample group from population B.
Hmm…either A or C. When the average for A is observed to be 10 points higher than B with a p-value of 0.03 (3%), that means that there is a 3% chance that a group from A will have 10 points higher than B. C seems to be the correct answer. Can somebody please explain why it’s A?
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