# Suppose you conduct a test and your p-value turns out to be

Suppose you conduct a test and your p-value turns out to be 0.08. What can you conclude?
Reject ${H}_{o}$ at $\alpha =0.05$ but not at $\alpha =0.10$
a) Reject ${H}_{o}$ at $\alpha =0.05$ but not at $\alpha =0.10$
b) Reject ${H}_{o}$ at $\alpha =0.01$ but not at $\alpha =0.05$
c) Reject ${H}_{o}$ at $\alpha =0.10$ but not at $\alpha =0.05$
d) Reject ${H}_{o}$ at alpha equal to $0.10,0.05,$ and $0.01$
e) Do not reject ${H}_{o}$ at $\alpha$ equal to $0.10,0.05,$ or $0.01$
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GaceCoect5v
If a p-value is less than $\alpha$ equal to significance level $\left(\alpha \right)$, then we reject null hypothesis.
Case 1 - if $\alpha =0.05$
We fail to reject ${H}_{0}$ (Null Hypothesis)
Case 2 - if $\alpha =0.01$
We fail to reject ${H}_{0}$
Case 3 - if $\alpha =0.10$
So, the correct option is,
c) Reject ${H}_{o}$ at $\alpha =0.10$ but not at $\alpha =0.05$
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jean2098
Is this all a solution? Is there any more explanation?