There are some issues while setup outlook mail within android built-in app, exact same as Hotmail app. Now the official Outlook.com app for Android has been released by Microsoft and offer simple way to access your outlook email account directly.
With the app, it is eays to confiure Outlook.com on Nexus 7/10 tablet and N4 phone, just entering email address and password. Once done, you are able to start sending and receiving mail and get syncing. It works Android OS 2.1-2.3.3 and 4.0-4.1.
It has many useful features, such as push notifications, view attachments, add multiple accounts. However, you can't mark emails as spam.