QUESTION IMAGE
Question
- if the p - value is small (less than 0.05), what should you do?
○ state that the null hypothesis is proved to be true.
○ state that the alternative hypothesis is proved to be true.
○ fail to reject the null hypothesis.
○ reject the null hypothesis.
Brief Explanations
In hypothesis testing, a small p-value (typically < 0.05) indicates strong evidence against the null hypothesis. The standard action is to reject the null hypothesis, not prove it false or prove the alternative true (hypothesis testing does not "prove" truth, only provides evidence).
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Reject the null hypothesis.