Why can't I login using my Event 1 software with Sage 300 Construction and Real Estate?

Background
Event 1 Software applications utilize the Sage 300 Construction and Real Estate ODBC driver to access data.  When connecting via ODBC, login information must be supplied if security has been enabled in Sage 300 Construction and Real Estate.  This article will direct you information that will help you with the following message:

The user name or password you entered is incorrect. Please enter a valid user name and password
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Version Specific Help
The possible causes for the above message depend on the version of Sage 300 Construction and Real Estate you are using.  Click a link below based on your version of Sage 300 Construction and Real Estate:

• Sage 300 Construction and Real Estate 9.5 and later
  
  
• Sage 300 Construction and Real Estate 9.4 and prior