What is the potential outcome if we fail to reject the null hypothesis?

  • The null hypothesis is definitely true
  • The sample size was too small
  • The significance level was too high
  • There is not enough evidence in the data to support the alternative hypothesis
If we fail to reject the null hypothesis, this means that there is not enough evidence in the data to support the alternative hypothesis. We do not say the null hypothesis is true, because it is possible that a type II error (false negative) occurred.
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