GoDaddy Domain only works with naked URL

I have a static website hosted on Amazon S3 that I want to map to my GoDaddy Domain. My problem is example.com works but www.example.com doesn't (opposite naked url problem). The steps that I did:

1. Put website files in example.com s3 bucket.


2. Set bucket to act as static website and proper permissions.


3. Create www.example.com bucket that redirects to example.com


4. Using GoDaddy DNS Zone File: create CNAME www that points to example.com bucket

Am I missing anything?