Answer:
In a \[\beta \] -decay, a neutron gets converted into a proton. So the neutron-proton ratio decreases. Consider the \[\beta \] -decay: \[_{83}^{210}Bi\to _{84}^{210}Po+_{-1}^{0}e\] Neutron-proton ratio before \[\beta \] -decay \[=\frac{210-83}{83}=\frac{127}{83}\] Neutron-proton ratio after \[\beta \] -decay \[=\frac{210-84}{84}=\frac{126}{84}\] As \[\frac{126}{84}<\frac{127}{83}\] Thus the neutron-proton ratio decreases in a \[\beta \] -decay.
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