Where does Attunity's CDC services write error data?
I found the data I was looking for.  In each target database there are a series of system tables within the schema cdc.  The error messages I wanted are in the cdc.xdbcdc_trace table.

select * from MyTarget_CT.cdc.xdbcdc_trace


There is a similar table in the MSXDBCDC database, but it is currently empty on my system.

There is also information regarding the connection status to Oracle from SQL Server in a file located, most of which I believe is also found in the trace table mentioned above.

C:\Users\CTServiceName\AppData\Local\Temp\oradiag_XXX\diag\clients\user_XXX\host_XXX\alert\log.xml