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North Carolina A&T State University Nuclear Physics group built a Lucite Hodoscope, which was included in the Big Electron Telescope Array (BETA), to be used in the Spin Asymmetries of the Nucleon Experiment (SANE) at Jefferson Lab. SANE is a pioneering spin physics program that uses large non-magnetic detectors. SANE is a measurement of the proton spin observables A1P(x,Q2), A2 P(x,Q2) and the spin structure functions (SSFs) g1P(x,Q2), g2P(x,Q2) over a Bjorken scaling variable x ranging from 0.3 to 0.8, covering the four-momentum transfer from 2.5 to 6.5 GeV2. The experiment took place in Hall-C at Jefferson Lab. It will produce information about protons SSFs from an inclusive double polarization measurement. The role of the Lucite Hodoscope is to provide position information and enhance background reduction. This work studies the on beam performance of the Lucite detector through the recovery of its position resolution and efficiency.