Question

You test the hypotheses H0: μ = 100 vs. H1: μ > 100, and you reject H0 at α = .05. Is this enough information to know if you will reject at α = .10? Explain.

Answer 1

we have rejected the null hypothesis at 0.05.

so, we have,p value < 0.05

[ as we know that , we can reject the null hypothesis , if p value < ]

decision for =0.10 is :-

p value < 0.05 << 0.10 [ which is obvious, that the p value which is less than 0.05 will be less than 0.10 ]

so, there is enough information reject the null hypothesis at 0.10 level of significance.

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