So here are two things going on in economics news right now: People are upset that America is importing cheap Chinese goods and thus undercutting American jobs. And people are freaking out about whether China's economic slowdown will harm the rest of the world.

But these two things don't really go together. If people are right to freak out about the first, it doesn't make a lot of sense to freak out about the second.

As I've written previously, China has been deliberately driving the value of its currency below the U.S. dollar for a good long while now. This makes Chinese-made goods cheaper than American-made goods, both when Americans are doing the buying and when anyone else is. As a result, America runs a big trade deficit with China: We buy a lot more stuff from them than we sell to them. That, in turn, means that some portion of the demand Americans generate by buying stuff isn't creating jobs here in America, but is instead going to create jobs in China.

China remains an extremely unequal country — considerably more so than America — and it's ruled by an entrenched and authoritarian one-party political system, run by a spectacularly wealthy political and business elite. That's a big problem, because as China modernizes, it's making the switch from a manufacturing-based economy to a services-based one. That should require China to generate a lot more of its own demand internally, which requires moving a lot more money down the income ladder so everyday Chinese people can buy more stuff.

But instead of reducing inequality, China has been effectively "exporting" its unemployment problem, by relying on demand from other major countries like the U.S. to fuel its job growth. That has the unfortunate side effect of siphoning off demand here in America, which decreases U.S. employment and increases inequality here at home.

"A trade surplus is a drain on other countries," Dean Baker, an economist and head of the the Center for Economic and Policy, told me in an interview.

But that carries some implications: If China is draining demand from America, then if our economy slows down, their economy slows down too. "We're a big [trade] deficit nation," Baker continued. "So when our economy slows, our imports slow, and that matters a lot" to the economies that provide those imports. The flip side is that if China's economy slows down, America doesn't lose demand, and doesn't have to generate or go looking for more.

In short, the extent to which a country is running a trade surplus is the extent to which it's relying on other countries as economic engines, rather than being its own engine, or an engine others rely on. And as it stands, China's trade surplus with the world is just over 3 percent of its economy. Meanwhile, America is running a trade deficit of about 2.5 percent of its economy.

Graph by author. Data courtesy of the International Monetary Fund.)

These numbers are from the International Monetary Fund. But Robert Scott, a trade expert with the Economic Policy Institute, told The Week that they've been looking at unpublished data from the World Trade Organization that suggests China's total goods trade surplus with the rest of the world was around $1 trillion in 2014, and could be even higher for 2015. With a gross domestic product (GDP) of $10.35 trillion in 2014, that would put China's goods trade surplus just below a whopping 10 percent of its economy.

Now, the total trade balance as measured by the IMF includes goods and services — the later including things like royalty payments, freight fees, banking services, insurance, tourism, and so forth. Developed countries tend to export services more and import goods more, and vice versa for developing countries. So you'd expect China's trade surplus in goods to be higher than its total trade surplus.

But even allowing for how famously unreliable economic data out of China is, Baker said a 10 percent goods trade surplus seemed extremely high compared to the IMF's total trade surplus. Still, this at least opens the possibility that China is an even greater hanger-on to the rest of the global economy than we realize.

There are possible routes by which a Chinese slowdown could hurt America, since their slowdowns have been associated with further drops in the value of their currency. That it turn could inspire other countries to devalue their currencies to stay competitive, all of which would make American goods even more expensive by comparison. "That does have some impact," Baker said. "But I think it really is overplayed."

The other complication is that, while America imports more from China on the whole, the U.S. still exports to them too — but those exports are only about 0.7 percent of our economy. "So say [U.S. exports to China] fell by 20 percent," Baker hypothesized. "That would be a lot." But even that extremely unlikely drop would only eliminate a small fraction of a percent of the demand America relies on. Not nearly enough to cause a recession.

Ultimately, if the engine sputters, that affects everyone who relies on it. But if the hangers-on falter, that's not nearly as big a problem for the engine countries.

As a result, Baker thinks a lot of the panicky headlines we've been seeing over the stock market turmoil in China, and what harm that will do to America, fail to recognize the distinction between the financial markets and the real economy.

China definitely had a stock market bubble that's now popping, but its stock market is also much smaller compared to the size of its economy than, say, America's is. On top of that, America has arguably been looking at a bit of a stock bubble itself. "If you were to go back 3 or 4 years and ask people where do they think the stock market will be in 2016, I doubt anyone would say 2,100 for the S&P 500," Baker said. "That's pretty high. When you have a high market, it doesn't take too much to shake it up a bit. You just need anything to give people a scare to bring a correction."

So a fall in China's stock market "isn't going to have the sort of secondary impact that it did in the U.S. at the end of the dotcom bubble," Baker continued. "That doesn't cause a recession, but it does cause a lot of headlines."

All of which doesn't mean the U.S isn't in for a recession some time soon. But it will be a fall in our own demand that does it to us, not a fall in China's.