package br.com.ema.dialogs;

import android.app.AlertDialog;
import android.app.Dialog;
import android.app.DialogFragment;
import android.content.DialogInterface;
import android.os.Bundle;
import android.util.Log;

import br.com.ema.R;

public class FinishGameDialogFragment extends DialogFragment {
    private static final String TAG = "FinishDialogFragment";

    @Override
    public Dialog onCreateDialog(Bundle savedInstanceState) {
        AlertDialog.Builder builder = new AlertDialog.Builder(getActivity());
        builder.setMessage(R.string.areYouSure)
                .setPositiveButton(R.string.finish, new DialogInterface.OnClickListener() {
                    public void onClick(DialogInterface dialog, int id) {
                        Log.i(TAG, "finish the game");
                        getActivity().finish();
                    }
                })
                .setNegativeButton(R.string.cancel, new DialogInterface.OnClickListener() {
                    public void onClick(DialogInterface dialog, int id) {
                        Log.i(TAG, "User cancelled the the end of the game.");
                    }
                });
        return builder.create();
    }

}

package br.com.ema.dialogs;

import android.app.AlertDialog;
import android.app.Dialog;
import android.app.DialogFragment;
import android.content.DialogInterface;
import android.os.Bundle;
import android.util.Log;

import br.com.ema.R;


public class FinishGameDialogFragment extends DialogFragment {
    private static final String TAG = "FinishDialogFragment";

    @Override
    public Dialog onCreateDialog(Bundle savedInstanceState) {
        AlertDialog.Builder builder = new AlertDialog.Builder(getActivity());
        builder.setMessage(R.string.areYouSure)
                .setPositiveButton(R.string.finish, new DialogInterface.OnClickListener() {
                    public void onClick(DialogInterface dialog, int id) {
                        // Finish the game
                    }
                })
                .setNegativeButton(R.string.cancel, new DialogInterface.OnClickListener() {
                    public void onClick(DialogInterface dialog, int id) {
                        Log.i(TAG, "User cancelled the the end of the game.");
                    }
                });
        // Create the AlertDialog object and return it
        return builder.create();
    }

}

--- 
+++ 
@@ -9,7 +9,6 @@
 
 import br.com.ema.R;
 
-
 public class FinishGameDialogFragment extends DialogFragment {
     private static final String TAG = "FinishDialogFragment";
 
@@ -19,7 +18,8 @@
         builder.setMessage(R.string.areYouSure)
                 .setPositiveButton(R.string.finish, new DialogInterface.OnClickListener() {
                     public void onClick(DialogInterface dialog, int id) {
-                        // Finish the game
+                        Log.i(TAG, "finish the game");
+                        getActivity().finish();
                     }
                 })
                 .setNegativeButton(R.string.cancel, new DialogInterface.OnClickListener() {
@@ -27,7 +27,6 @@
                         Log.i(TAG, "User cancelled the the end of the game.");
                     }
                 });
-        // Create the AlertDialog object and return it
         return builder.create();
     }
 
Add action to finish the activity.
