If a null hypothesis is rejected against an alternative at the 5% level,then using the same data,it must be rejected against that alternative at the 1% level.

Question

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Rejecting a null hypothesis at the 5% level means that the observed data would be considered highly unlikely if the null hypothesis were true, with a probability of less than 5%. However, rejecting at the 1% level requires even stronger evidence against the null hypothesis, specifically that the observed data would be considered highly unlikely with a probability of less than 1%. Therefore, rejecting at the 5% level does not automatically imply rejection at the 1% level.

If a Null Hypothesis Is Rejected Against an Alternative at the 5