Here I have created change backgraund color View app. when we select any radio button then it will change the backgraund color. In the below example i have use four radio button on diffrent colour id. You can use the below code to change backgraund color view in Android.
Step(1)-MainActivity class-

public class MainActivity extends Activity implements ColorFragment.OnColorChangeListener {
    LinearLayout linearLayout;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);
       linearLayout =(LinearLayout) findViewById(R.id.main_layout_id);
        FragmentManager fragmentManager = getFragmentManager();
        FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
        ColorFragment colorFragment = new ColorFragment();
        fragmentTransaction.add(R.id.fragment_container, colorFragment);
        fragmentTransaction.commit();

    }


    @Override
    public void colorChanged(String color_name) {
        if (color_name.equals("RED")) {
            linearLayout.setBackgroundColor(Color.RED);
        } else if (color_name.equals("BLUE")) {
            linearLayout.setBackgroundColor(Color.BLUE);

        } else if (color_name.equals("GREEN")) {
            linearLayout.setBackgroundColor(Color.GREEN);

        } else if (color_name.equals("GRAY")) {
            linearLayout.setBackgroundColor(Color.GRAY);

        }
    }

}

Step(2)-ColorFragment class-

public class ColorFragment extends Fragment {
    RadioGroup Color_Group;
   OnColorChangeListener onColorChangeListener;


    @Override
    public View onCreateView(LayoutInflater inflater,ViewGroup container,Bundle savedInstanceState){
        View view;
        view = inflater.inflate(R.layout.color_fragment_layout,container,false);
        Color_Group = (RadioGroup)view.findViewById(R.id.color_group);
        Color_Group.setOnCheckedChangeListener(new RadioGroup.OnCheckedChangeListener(){

            @Override
            public void onCheckedChanged(RadioGroup group, int checkedId) {






                switch (checkedId)
                {
                    case R.id.red_id:
                        onColorChangeListener.colorChanged("RED");
                        break;
                    case R.id.blue_id:
                        onColorChangeListener.colorChanged("BLUE");
                        break;
                    case R.id.green_id:
                        onColorChangeListener.colorChanged("GREEN");
                        break;
                    case R.id.gray_id:
                        onColorChangeListener.colorChanged("GRAY");
                        break;
            }
            }

        });
        return view;

    }
    @Override
    public void onAttach(Activity activity) {
        super.onAttach(activity);
        try {
            onColorChangeListener= (OnColorChangeListener)  activity;
        } catch (Exception ex) {}

    }





    public interface OnColorChangeListener
    {
        public void colorChanged(String color_name);
    }

}