This is the same as you usually set permissions. After creating your application at http://apps.twitter.com/ , go to the details tab of your application and go to the "Application Settings" heading. From there, you can click "change application permissions" under the access level and, well, change the access levels. Below is a screenshot of what you are looking for.

I know that I can change the problems with https://apps.twitter.com/ (Twitter Application Management), I do not see my application there, but I can see this when managing applications on the fabric.
The fabric automatically generates default credentials. To prevent "If you are not using Twitter's automatic generated credentials, make sure that" Allow this application to log in to Twitter is checked for your Twitter application before using this feature. "
Source: https://dev.twitter.com/twitter-kit/android/twitter-login
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