You should accept the null hypothesis when the evidence from your data does not provide sufficient support to reject it. This typically occurs when the p-value is greater than the predetermined significance level (commonly set at 0.05), indicating that the observed results are likely due to random chance rather than a true effect. It's important to note that accepting the null does not prove it true; it simply suggests that there is not enough evidence to conclude otherwise.
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You should reject the null hypothesis.
No, you are never certain.
Be able to reject the null hypothesis and accept the research hypothesis
This is the set of natural numbers.
The null and alternative hypotheses are not calculated. They should be determined before any data analyses are carried out.