I have this regression model,
$$\hat{Y}=\hat{a}X_1+\hat{b}X_2+\hat{c}$$
Both $X_1$ and $X_2$ are significant at 0.01 level. $X_1$ and $X_2$ have a same unit. Now I want to find a test that tells me whether $\hat{a}$ is significantly higher than $\hat{b}$ or not? Can I use a simple t-test for this comparison?