Published checkbox only available for administrator Only the administrator can publish a node of content type Report. It is not using content moderation or groups though other content types are. All permissions are set for the "site admin" to create/edit own/others of this type. The only buttons available are "Save" and "Preview" and the published checkbox doesn't show for non-administrator users. Save sets as "Draft" even though it's not using content moderation.
You can use the following module.

Override Node Options

The Override Node Options module allows permissions to be set to each field within the Authoring information and Publishing options field sets on the node form. It also allows selected field sets to be set as collapsed and / or collapsible.