Failure to reject the null hypothesis means:

Failure to reject the null hypothesis means:

• A. There is a significant difference.
• B. The alternative hypothesis is proven.
• C. There is not a significant difference.
• D. The study results are inconclusive.

Answer: (C)

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.