Let $\mathfrak{f}$ be a cusp form of half-weight $k+1/2$ and at most quadratic nebentype character whose Fourier coefficients are denoted as $\mathfrak{a}_\mathfrak{f}(n)$. We study sign changes of the family $\{\mathfrak{a}_\mathfrak{f}(tp^2)\}_{p\in\mathbb{P}}$ where $t$ is a square-free number and $p$ runs through the prime numbers.