PowerShell test-connection, if service exists using get-service

Basically I want to check and see if the computers in the text file are online. If they aren't online then write-host "$computer is down". If the $computer is online then check to see if this service exists, if it exists then write-host "$computer installed, if not then write-host "$computer not installed". The Test-connection seems to work but if the computer is online they all return write-host "$computer installed" even though I have a test machine that I know doesn't have this service running.

 function Get-RunService {

 $service = get-service -name ABCService

 Get-Content "C:\powershell\computers.txt" | 

  foreach {if (-not (Test-Connection -comp $_ -quiet))
  {
  Write-host "$_ is down" -ForegroundColor Red
  }
   if ($service ) 
   { 
    write-host "$_  Installed"
  }

else {

Write-host "$_  Not Installed"

}


 }

}

get-RunService