Derived Table Problem

I've created this:

SELECT
c.ProjectID,
Count(c.ID) as 'Registrants',
Count(dt.Hits) as 'Submissions'
FROM
CME_TBL c
JOIN
(SELECT ProjectID, Count(*) as Hits FROM CME_TBL
WHERE evalDate Is Not NULL OR testDate Is Not NULL
GROUP BY ProjectID
) dt
ON c.ProjectID = dt.ProjectID

GROUP BY
c.ProjectID

ORDER BY
c.ProjectID

and I get this:

ProjectID Registrants Submissions
--------- ----------- -----------
adv_104699 99
adv_1047185 185
adv_110566 66
boh_107134 34

Instead, I want this:

ProjectID Registrants Submissions
--------- ----------- -----------
adv_104699 14
adv_1047185 82
adv_110566 17
boh_107134 12

The "ProjectID" and "Submissions" columns are produced when I run the
derived table (dt, above) as a standalone query. By the same token,
the "Project ID" and "Registrants" columns are produced when I run the
"outer" query, above.

Am I on the right track here?

TIA,

-- Bill