When a difference between two groups is "statistically significant," this means that

A) the difference is statistically real but of little practical significance.
B) the difference is probably the result of sampling variation.
C) the difference is not likely to be due to chance variation.
D) all of these differences exist.

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Kamlyn Bevacqua · Accepted Answer

Final Answer : C, Explanation :  When a difference between two groups is statistically significant, it means that the likelihood of the difference occurring due to chance variation is very low. This does not necessarily mean that the difference is practically significant or meaningful, but it indicates that the result is unlikely to be a coincidence or sampling variation. Option A is incorrect as it suggests that the difference is statistically real but of little practical significance, which might not always be the case. Option B is misleading as it suggests that the difference is probably due to sampling variation, but statistical significance tests are designed to account for random variation in samples. Option D is incorrect as it contains all options without explicitly stating which one is correct.

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