The image above is of a snippet from a web page that does not have any visible video content on the page. Google's search results show that there is a video, by displaying a thumbnail image with a play button, but the page itself has no video on it.
The question came up in a hangout with Google's John Mueller on Google+ at the 3:10 mark. Where John answers that Google is aware of these issues, it is a wide scale issue that the video team is working on to fix the issue.
The question was:
Google is showing video snippets for 32 Dividend.com articles that do not have videos. This is greatly impacting our traffic. I have posted this problem in the forum and have messaged John Mueller via G+ a couple times. What else can I do?
The answer:
Essentially there are algorithms that are picking up on what is assumed to be video snippets here. I know this is something that some sites have a bit of a problem with, in the sense that we sometimes pick them up incorrectly. I know the video team is also working on this problem to solve it on a broader scale. I don't have any immediate solution for you at the moment but I know the team is working on this problem.
This is a pretty common issue you can see, if you pay attention, in the Google search results.
Here is the video embed:
Forum discussion at Google+.