<p>This thesis describes a new experimental approach that has been designed to determine the alpha-branching ratio of the 4.03-MeV excited state of Ne-19. A precise measurement of this quantity is needed to reduce reaction rate uncertainties in Type I x-ray bursts models. The alpha-branching will be measured by the detection of the beta+ activity of the associated alpha-decay product. This activity method has been modelled using two separate simulations. The first, a Monte Carlo code to simulate the reaction process and energy distributions of the decay products. Secondly, a GEANT4 simulation was created to predict the detector response to the O-15 beta+ activity. Along with the simulations two NaI(Tl) detectors, which were customized to this experiment's geometric constraints, have been tested and their response and resolution have been determined. The results of this work will be used to refine the experimental setup such that the proposed test run and eventual alpha-branching ratio measurement of the 4.03-MeV state will be successful. With the results of the simulations and subsequent yield calculations, it has been found that reasonable statistical significance in the O-15 yield from the 4.03-MeV excited state in Ne-19 can be achieved within 10 days of beamtime.</p> / Master of Science (MSc)