Failure to reject the null hypothesis means:

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Multiple Choice

Failure to reject the null hypothesis means:

Explanation:
Failing to reject the null hypothesis means there isn’t enough evidence, at the chosen significance level, to claim a statistically significant difference. It doesn’t prove there is no difference at all; it could be that the true difference is small, the data are variable, or the study lacked enough power (sample size) to detect a difference. The conclusion reflects not meeting the threshold to declare significance, not a proof of no effect. Among the statements, this best fits: there is not a significant difference.

Failing to reject the null hypothesis means there isn’t enough evidence, at the chosen significance level, to claim a statistically significant difference. It doesn’t prove there is no difference at all; it could be that the true difference is small, the data are variable, or the study lacked enough power (sample size) to detect a difference. The conclusion reflects not meeting the threshold to declare significance, not a proof of no effect. Among the statements, this best fits: there is not a significant difference.

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