We use quantum Monte Carlo simulations to study the electronic properties of Anderson magnetic impurities in a semiconductor host. We find that in a semiconductor the magnetic impurities exhibit ferromagnetic correlations, which can have a much longer range than in a metallic host. In particular, the range is longest when the Fermi level is located between the top of the valence band and the impurity bound state. We study the dependence of the ferromagnetic correlations on the parameters of the Anderson model, and the dimensionality and band structure of the host material. Using the tight-binding approximation for calculating the host band structure and the impurity–host hybridization, we obtain an impurity bound state, which is located at ≈100 meV above the top of the valence band, which is in agreement with the transport measurements on GaAs with dilute Mn impurities.