5
AssignmentMultiple Choice

Scope of Inference

Question 5 • VA-Probability and Statistics

When are the results of an experiment said to be statistically significant?

Answer
A
when the experimental design uses the principles of randomization, control, comparison, and replication
B
when the results from each treatment group differ
C
when a large sample size is used in each treatment group
D
when the observed results of a study are too unusual to be explained by chance alone

Explanation

Results are statistically significant when the observed difference or pattern would be unlikely to occur from random chance alone, assuming no real effect. Choice D states this directly: the results are too unusual to be explained by chance. Differences between treatment groups or a large sample size by themselves do not establish statistical significance.

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