If I have to test a hypothesis like:
\begin{align} H_0:\mu\leq10\\H_1:\mu>10\\ Z_{1-p}=\dfrac{\bar{X}-\mu}{\sigma/\sqrt n} \end{align} From which I get p-value and I make a comment about whether it makes sense to reject $H_0$.
What happens for double sided tests? $\mu=10,\mu\neq10$.
Do I simply take $2\times p$ from the above and then make comments?
If yes, why are we doing that?