Let $DM^{\text{eff}}(k)$ be the category of Voevodsky´s effective motives. Let $p,q\in \mathbb{Z}$ be integers with $p<0$.

Is it true that 
$$\text{Hom}_{DM^{\text{eff}}(k)}(M(X),\mathbb{Z}(p)[q])=0,$$
where $M(X)$ is the motive of a smooth scheme $X$ over a field $k$ and $\mathbb{Z}(p)$ is the Tate motive?