Adding JCheckBox into JList

I am trying to put JCheckBox into JList.

What I want is

1 When a check box is clicked, it automatically changes its state
2 Get all the check boxes in the list whose states are  ‘selected’.

The following is my attempt to do it.

At the moment when I click on a check box it turns itself on and then it quickly turns itself off.
Also, I can not get all the check boxes whose states are ‘selected’.


private final Component[] stats_option={new JCheckBox("1"), new JCheckBox("2"), new JCheckBox("3"), new JCheckBox("4"), new JCheckBox("5")};
 
GUITest()
  {
    JList list=new JList(stats_option);
    list.setVisibleRowCount(3);
    list.setSelectionMode(ListSelectionModel.SINGLE_SELECTION);
    list.addListSelectionListener(new
                                    ListSelectionListener()
                                    {
      public void valueChanged(ListSelectionEvent evt)
      {  
        JList list=(JList)evt.getSource();
        JCheckBox check= (JCheckBox)list.getSelectedValue();
       
        if(check.isSelected())
        {
          check.setSelected(false);
        }
        else
        {
          check.setSelected(true);
        }
      }
     
    });
    list.setCellRenderer(new Stats_cell_renderer());
    JScrollPane scroll=new JScrollPane(list);
   
    add(scroll);
  }
 
  class Stats_cell_renderer implements ListCellRenderer
  {  
    public Component getListCellRendererComponent(JList list, Object value, int index,
                                                  boolean isSelected, boolean cellHasFocus)
    {  
      JCheckBox check=(JCheckBox)value;
      //check.setText((String)value);
      background = isSelected ? list.getSelectionBackground() : list.getBackground();
      foreground = isSelected ? list.getSelectionForeground() : list.getForeground();
      check.setBackground(background);
      check.setForeground(foreground);
      return check;
    }
   
    public Dimension getPreferredSize()
    {  
     
      return new Dimension(100, 50);
    }
   
    private Color background;
    private Color foreground;
  }