Dynamically checking a checkbox in onClickListener

So, I have a checkbox. When I check this checkbox, I do not want the box to check right away. I have a dialog pop up and ask the user "Mark as complete/incomplete" or "Cancel". Only when the user selects "Mark as complete/incomplete" do I want the checkbox to toggle. But, whenever I click on this option, the dialog reappears and the checkbox is not toggled. I'm not sure what I am doing wrong here. Here is my code:

package com.example.testcheckbox;

import android.app.AlertDialog;
import android.content.DialogInterface;
import android.os.Bundle;
import android.support.v7.app.ActionBarActivity;
import android.widget.CheckBox;
import android.widget.CompoundButton;

public class MainActivity extends ActionBarActivity {

    CheckBox cb;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);
        cb = (CheckBox) findViewById(R.id.checkbox);
        cb.setChecked(true);
        cb.setOnCheckedChangeListener(new CompoundButton.OnCheckedChangeListener() {
            @Override
            public void onCheckedChanged(CompoundButton buttonView,
                    final boolean isChecked) {

                CharSequence options[];

                if (isChecked) {
                    cb.setChecked(false);
                    options = new CharSequence[] { "Mark as Complete",
                            "Cancel" };
                } else {
                    cb.setChecked(true);
                    options = new CharSequence[] { "Mark as Incomplete", "Cancel" };
                }

                AlertDialog.Builder builder = new AlertDialog.Builder(
                        MainActivity.this);
                builder.setItems(options, new DialogInterface.OnClickListener() {
                    @Override
                    public void onClick(DialogInterface dialog, int which) {
                        switch (which) {
                        case 0:
                                cb.toggle();
                        }

                    }
                });
                builder.show();
            }
        });
    }
}

and here is the layout with the checkbox:

<RelativeLayout xmlns:android="http://ift.tt/nIICcg"
    xmlns:tools="http://ift.tt/LrGmb4"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:paddingBottom="@dimen/activity_vertical_margin"
    android:paddingLeft="@dimen/activity_horizontal_margin"
    android:paddingRight="@dimen/activity_horizontal_margin"
    android:paddingTop="@dimen/activity_vertical_margin"
    tools:context="com.example.testcheckbox.MainActivity" >

    <CheckBox
        android:id="@+id/checkbox"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:text="@string/hello_world" />

</RelativeLayout>

Any ideas? If you don't understand what I want to do, just ask! Thanks