Evidence for Parity Nonconservation in the Decays of the Narrow States near 1.87 GeV/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

We have studied the Dalitz plot for the recently observed charged state decaying into ${K}^{\ensuremath{\mp}}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$ at 1876 MeV/${\mathit{c}}^{2}$ and we find that the final state is incompatible with a natural spin and parity assignment. This information, coupled with the earlier observation of the ${K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}$ decay mode (a final state of natural spin and parity) of the neutral state at 1865 MeV/${\mathit{c}}^{2}$, suggest parity nonconservation in the decays of these objects if they are members of the same isomultiplet as their proximity in mass suggests.