Practice question · True or false
A result that is statistically significant at the 0.05 level is automatically significant at the 0.01 level as well.
Hints
- Think of a specific p-value that clears one bar but not the other.
- Consider p = 0.03.
Show the answer
False
Why
False. A p-value of 0.03 is below 0.05 but above 0.01, so it is significant at the looser level only. The implication runs the other way: significance at 0.01 does guarantee significance at 0.05, since the stricter threshold is harder to clear.
Practise Hypothesis Testing
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