Republican primary voters are further to the right on many immigration issues than the general electorate. They support building a border wall, increasing border patrols, and defunding sanctuary cities. In 2020, the last presidential election year, 62 percent opposed a path to citizenship for undocumented immigrations. Ending birthright citizenship, as Ramaswamy says he wants to do, is even more extreme. Candidates tonight are trying to woo those voters tonight with their stances on immigration, but they risk boxing themselves into unpopular opinions should they make it to the general election.
— Analysis by Monica Potts of 538

DeSantis gets a question on China and says he wants a totally new approach to that country. He says that he wants to ban the Chinese Communist Party from buying land anywhere in America, and also says he doesn't want them in our universities. It wasn't clear if he was talking about all Chinese students, or just the Confucius Institutes he mentioned right after.

—Jacob Rubashkin, 538 contributor

This is accurate. From our colleagues at the Pew Research Center:

“In the nearly five decades that the current system for budgeting and spending tax dollars has been in place, Congress has passed all its required appropriations measures on time only four times: fiscal 1977 (the first full fiscal year under the current system), 1989, 1995 and 1997. And even those last three times, Congress was late in passing the budget blueprint that, in theory at least, precedes the actual spending bills.”
-Analysis by Aaron Sharockman, PolitiFact

In an August poll by YouGov/The Economist, Republicans were particularly likely to be wary of the U.S. relationship with China. Forty-three percent of Republicans said China poses an immediate and serious economic threat to the U.S., while only 16 percent of Democrats and 28 percent of independents agreed. When it comes to a military threat, 33 percent of Republicans said China poses an immediate and serious threat, compared with 13 percent of Democrats and 24 percent of independents.
—Analysis by 538

Trump maintains a lead of 27 percentage points over Haley, his nearest competitor in South Carolina, according to polls conducted since the first debate. Haley’s average support has grown by 9 points since the first debate, while DeSantis and Scott have fallen.

According to a September survey from Beacon Research/Shaw & Co. Research/Fox Business, 69 percent of likely South Carolina Republican primary voters say they support their first-choice candidate strongly, while 28 percent say they support them only somewhat. Among those that list Trump as their first choice, 86 percent say they support him strongly, while the second-place candidate, Haley, has only 57 percent saying the same.

In a September survey by Monmouth University/The Washington Post, South Carolina primary voters are split on whether the Republican Party should nominate a candidate who agrees with them on major issues (51 percent) or one who can beat Biden (45 percent). Among voters who say they are very or somewhat conservative, selecting a candidate who can beat Joe Biden is more important by a margin of 7 and 11 percentage points, respectively. Voters who say they are moderate or liberal prefer a candidate who agrees with them on major issues by 31 percentage points.

—Analysis by 538