In the AdS/CFT correspondence, the space-time metric can be modified by a dilaton background with a positive sign. Modifying the metric and action with the dilaton field in the non-Abelian sector of Quantum Field Theory, such as Quantum Chromodynamics (QCD), produces an analytical running coupling constant applicable in the non-perturbative domain of the theory. The computed running coupling constant aligns closely with experimental results at low energy levels. The Burkert-Ioffe model can additionally modify this $\alpha _s^{Ads}({Q^2})$ to more closely align with experimental results at high energy scales. Consequently, utilizing the AdS/CFT correspondence, we analyze specific QCD observables including the Bjorken sum rule, electron-positron annihilation into hadrons, and hadronic tau decay at low energy scales, below the QCD cut-off parameter, and we compare the outcomes with experimental data that match them closely.