When testing the component I am able to pass values to string attributes on the application in using a query string of the same name, but I am not sure how to do the same thing if the component is embedded in a communities page. I am using the napili theme if that makes any difference.
The attribute I am trying to set has a design attribute defined like this:
<design:attribute name="selectedExhibit" label="Exhibit Public Name" description="The Exhibit Public name to be use to lookup the schedule." />
Is there something I need to enter in the property editor: