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Using the TRIUMF atom trap for $\\beta$ decay, we have measured a nonzero asymmetry of the progeny $^{47}$Ca with respect to the initial $^{47}$K spin polarization, which together with the $\\beta$ asymmetry implies a nonzero ratio of Fermi to Gamow-Teller matrix elements $y$= 0.098$\\pm$0.037 for the $1/2^+ \\rightarrow 1/2^+$ transition. 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