I know that people have asked this question, but I followed all the answers and I still have the same problem. I have two scripts One is the fragment manager (IngredientsActivity) and the other is the fragment (OtherList). The code is as follows
IngredientsActivity
import java.util.ArrayList;
import android.app.ActionBar;
import android.app.FragmentTransaction;
import android.os.Bundle;
import android.support.v4.app.Fragment;
import android.support.v4.app.FragmentActivity;
import android.view.Gravity;
import android.view.LayoutInflater;
import android.view.Menu;
import android.view.View;
import android.view.ViewGroup;
import android.widget.TextView;
public class IngredientsActivity extends FragmentActivity implements ActionBar.TabListener {
    private static final String STATE_SELECTED_NAVIGATION_ITEM = "selected_navigation_item";
    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.check_list);
        // Set up the action bar.
        final ActionBar actionBar = getActionBar();
        actionBar.setNavigationMode(ActionBar.NAVIGATION_MODE_TABS);
        // For each of the sections in the app, add a tab to the action bar.
        actionBar.addTab(actionBar.newTab().setText("Alcahol").setTabListener(this));
        actionBar.addTab(actionBar.newTab().setText("Juice").setTabListener(this));
        actionBar.addTab(actionBar.newTab().setText("Other").setTabListener(this));
    }
    @Override
    public void onRestoreInstanceState(Bundle savedInstanceState) {
        if (savedInstanceState.containsKey(STATE_SELECTED_NAVIGATION_ITEM)) {
            getActionBar().setSelectedNavigationItem(savedInstanceState.getInt(STATE_SELECTED_NAVIGATION_ITEM));
        }
    }
    @Override
    public void onSaveInstanceState(Bundle outState) {
        super.onSaveInstanceState(outState);          //OVERRIDE SAVE ON MAINCLASS
        outState.putInt(STATE_SELECTED_NAVIGATION_ITEM, getActionBar().getSelectedNavigationIndex());
    }
    @Override
    public boolean onCreateOptionsMenu(Menu menu) {
        return true;
    }
    @Override
    public void onTabUnselected(ActionBar.Tab tab, FragmentTransaction fragmentTransaction) {
    }
    @Override
    public void onTabSelected(ActionBar.Tab tab, FragmentTransaction fragmentTransaction) {
        if (tab.getPosition() == 0) {
            AlcoholList simpleListFragment = new AlcoholList();
            getSupportFragmentManager().beginTransaction().replace(R.id.containert, simpleListFragment).commit();
        } 
        else if (tab.getPosition() == 1) {
            JuiceList androidlidt = new JuiceList();
            getSupportFragmentManager().beginTransaction().replace(R.id.containert, androidlidt).commit();
        }
        else {
            OtherList androidversionlist = new OtherList();
            getSupportFragmentManager().beginTransaction().replace(R.id.containert, androidversionlist).commit();
        }
    }
    @Override
    public void onTabReselected(ActionBar.Tab tab, FragmentTransaction fragmentTransaction) {
    }
       public static class DummySectionFragment extends Fragment {
        public DummySectionFragment() {
        }
        public static final String ARG_SECTION_NUMBER = "section_number";
        @Override
        public View onCreateView(LayoutInflater inflater, ViewGroup container,
                Bundle savedInstanceState) {
            TextView textView = new TextView(getActivity());
            textView.setGravity(Gravity.CENTER);
            Bundle args = getArguments();
            textView.setText(Integer.toString(args.getInt(ARG_SECTION_NUMBER)));
            return textView;
        }
    }
}
OtherList
import java.util.ArrayList;
import android.content.Context;
import android.os.Bundle;
import android.support.v4.app.ListFragment;
import android.util.Log;
import android.view.LayoutInflater;
import android.view.View;
import android.view.ViewGroup;
import android.widget.ArrayAdapter;
import android.widget.CheckBox;
import android.widget.ListView;
public class OtherList  extends ListFragment{
    MyCustomAdapter dataAdapter = null;
    private  ArrayList<String> recipesList;
private ArrayList<Items> stateList ;
public OtherList() {
    setRetainInstance(true);
     stateList = new ArrayList<Items>();
          Items _states1 = new Items ("Gin",false);
          stateList.add(_states1);
Items _states2 = new Items ("Ginger Liqueur",false);
          stateList.add(_states2);
Items _states3 = new Items ("Citrus Vodka",false);
          stateList.add(_states3);
Items _states4 = new Items ("Champagne",false);
          stateList.add(_states4);
Items _states5 = new Items ("Coconut Rum",false);
          stateList.add(_states5);
Items _states6 = new Items ("Pear Vodka",false);
          stateList.add(_states6);
Items _states7 = new Items ("Rum",false);
          stateList.add(_states7);
Items _states8 = new Items ("Tequila",false);
          stateList.add(_states8);
Items _states9 = new Items ("Triple Sec",false);
          stateList.add(_states9);
Items _states10 = new Items ("Kahlua",false);
          stateList.add(_states10);
        }
    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
          dataAdapter = new MyCustomAdapter(this.getActivity(),R.layout.da_item, stateList);
          setListAdapter(dataAdapter);    
    }
    @Override
    public View onCreateView(LayoutInflater inflater, ViewGroup container, Bundle savedInstanceState) {
        return inflater.inflate(R.layout.list_fragment, container, false);
    }
    @Override
    public void onListItemClick(ListView list, View v, int position, long id) {
    }
    private class MyCustomAdapter extends ArrayAdapter<Items>
{
 private ArrayList<Items> stateList;
public MyCustomAdapter(Context context, int textViewResourceId, 
ArrayList<Items> stateList) 
{
      super(context, textViewResourceId, stateList);
      this.stateList = new ArrayList<Items>();
      this.stateList.addAll(stateList);
}
  private class ViewHolder
  {
    CheckBox name;
  }
  @Override
 public View getView(int position, View convertView, ViewGroup parent) 
  {
          ViewHolder holder = null;
          Log.v("ConvertView", String.valueOf(position));
          if (convertView == null)
          {
             LayoutInflater vi = (LayoutInflater) getContext().getSystemService(Context.LAYOUT_INFLATER_SERVICE);
             convertView = vi.inflate(R.layout.da_item, null);
            holder = new ViewHolder();
            holder.name = (CheckBox) convertView.findViewById(R.id.ingredientbox);
            convertView.setTag(holder);
                      holder.name.setOnClickListener( new View.OnClickListener() 
                      {
                                 public void onClick(View v)  
                                 {
                                   CheckBox cb = (CheckBox) v;
                                   Items _state = (Items) cb.getTag();
                                   _state.setSelected(cb.isChecked());
                                }
                      });
          }
          else
          {
              holder = (ViewHolder) convertView.getTag();
          }
          Items state = stateList.get(position);
          holder.name.setText(state.getName());
          holder.name.setChecked(state.isSelected());
          holder.name.setTag(state);
          return convertView;
  }
}
@Override
public void onActivityCreated(Bundle savedInstanceState){
    super.onActivityCreated(savedInstanceState);
}
     @Override 
     public void onSaveInstanceState(Bundle outState) {
          Log.d("hey","SAVING");                              //NOT SAVING
         super.onSaveInstanceState(outState);
         save();
         outState.putStringArrayList("index", recipesList); 
         }
                }
            }
    }
    }
I found multiple suggestions that said to override the onSaveInstanceState , which I did and I found even more telling me to use setRetainInstance. I don't know why setRetainInstance state would be helpful if I want to save a value of a list. My question-Why Is it not calling the save in the OtherList class or whats a better method to implement if I want to save the values in the List View (in this case I am using checkboxes)