這應該工作......

SharedPreferences pref = getSharedPreferences("preferencesName", MODE_PRIVATE);
final SharedPreferences.Editor prefEdit = pref.edit();

RadioButton radio = (RadioButton) findViewById(R.id.radio);
radio.setOnCheckedChangeListener(new OnCheckedChangeListener() {
    @Override
    public void onCheckedChanged(CompoundButton buttonView, boolean isChecked) {
        prefEdit.putBoolean("booleanValue", isChecked).commit();
    }
});