Suppose your favorite network TV show wraps up at 10 p.m., and you decide to go channel surfing for a little news before bed. If you're not terribly picky about the source, you might just click your way up the dial and stop at the first news show you see.

In this scenario, the order of channels in your cable package will determine whether you arrive at Fox News, CNN or MSNBC — whether the voice that tells you what's happening in the world belongs to Sean Hannity, Don Lemon or Lawrence O'Donnell.

That's a big difference — big enough to change voting habits, according to researchers at Emory University and Stanford University. Here's an excerpt of a study by Gregory J. Martin and Ali Yurukoglu, shared with The Fix in advance of its publication in the September issue of the American Economic Review:

We demonstrate that a one-standard-deviation decrease in Fox News's channel position is associated with an increase of approximately 2.5 minutes per week in time spent watching Fox News. We estimate that watching the Fox News Channel for this additional 2.5 minutes per week increases the vote share of the Republican presidential candidate by 0.3 percentage points among voters induced into watching by variation in channel position.

There's some math jargon in there, so let's break it down.

One standard deviation, in this case, is about 17 channels. Martin and Yurukoglu found that if Fox News is, say, channel number 500 in your cable lineup, instead of 517, you will watch an extra 2.5 minutes of Fox News in a week, simply because you will encounter Fox News at an earlier point in your channel surfing.

If 1,000 people watch an average of 2.5 minutes per week of additional Fox News coverage for this reason, three of them will be persuaded to vote Republican.

Three votes out of 1,000 might not sound like a ton, but consider that many people are firmly committed to one party or the other. According to Gallup, 41 percent of Americans call themselves independents and only 11 percent say they do not lean in either direction.