11:35 p.m. ET
CBS News projects that Bernie Sanders wins Michigan, with 95 percent of the vote in.
- Live updates: Michigan, Mississippi, Idaho, Hawaii Republican contests
- Where to find all of Tuesday night's election results
- How to watch tonight's four nominating contests
Sanders tweeted about it in typical Sanders style:
10 p.m. ET
Clinton addressed supporters in Cleveland, Ohio on Tuesday night. Like Sanders, she didn't mention the races in Michigan or Mississippi and instead looked ahead to the next primaries.
"Now, I know we have a long way to go. In fact, the future that I envision is going to take work from all of us," she said. "I want to knock down the economic barriers, the health care barriers, the education barriers, the kind of challenges people face every day. You're here tonight, and you're going to do everything you can in this next week, along with people in Florida, Illinois, Missouri, North Carolina, who are going to the polls. I hope you're going to the polls ."
9:40 p.m. ET
According to the latest CBS News exit polling results from Michigan:
Sanders has stayed competitive with Clinton in Michigan by winning the under-30 vote overwhelmingly (82 percent to 17 percent); and he won among those 30 to 44 (56 percent to 43 percent); Clinton won the over-45 vote by 58 percent to 39 percent.
As many as 23 percent of the Democratic voters were African-American, and Clinton carried their votes, 64 percent to 32 percent. Overall, Clinton won only 60 percent of the votes of non-whites in Michigan.
Sanders won among white Democrats, 59 percent to 39 percent.
Clinton did well among voters who said they think of themselves as Democrats ( 55 percent to Sanders' 43 percent); Sanders did much better among those who considered themselves independents (73 percent to 26 percent).
As many as 22 percent of voters said they were "very liberal," and Sanders won this group by a 61 percent to 39 percent margin. Sanders ran strongly among Democratic voters who were most worried about the direction of the economy (59 percent to 38 percent).
Nearly six in 10 voters said that international trade led to the loss of U.S. jobs, and Sanders won the votes of 60 percent of these voters.
9:30 p.m. ET
Sanders spoke to a crowd of about 3,800 people in Miami on Tuesday night, already looking ahead to the March 15 Florida primary.
"Next Tuesday here in Florida, let's show the world," he said, "let's show the world that democracy is alive and well with a huge voter turnout, huge!"
9:05 p.m. ET
The Democratic primary in Michigan is currently a toss-up between Hillary Clinton and Bernie Sanders.
Clinton is winning the support of about 76 percent of African-American voters, although they make up a smaller share of the electorate in Michigan (about a quarter) than in Mississippi, where Clinton claimed a clear victory.
Sanders currently leads among white voters, 54 percent to 44 percent. Clinton, meanwhile, is winning the support of women (54 percent to 43 percent), but the race is tighter among men. It is also close among white women. Sanders continues to run strong among voters under age 30 (at 82 percent support)
Those who decided on their candidate early on are going for Clinton, while the race is closer among those who made up their minds in the last week (44 percent for Clinton, 51 percent for Sanders).
8:26 p.m. ET
Sanders' support among young voters and liberals has turned out to be relatively weak in Mississippi:
The senator ran somewhat better among younger people, but Clinton beat him among those under 45 (64 percent to 35 percent) and did extremely well among those over 45 (87 percent for Clinton vs. 13 percent for Sanders).
Clinton even ran well among Mississippi Democrats who called themselves "very liberal" (73 percent for Clinton vs. 27 percent for Sanders).
A significant number of Democrats said that Sanders' positions on the issues are too liberal (26 percent) and that he is too anti-business (29 percent). As many as 49 percent said his policies are not realistic, and only 44 percent said they trust Sanders to handle the economy.
8 p.m. ET
CBS News projects that Hillary Clinton has won Mississippi's Democratic primary, where polls closed at 8 p.m. ET.
Polls are still open in Michigan.
The former secretary of state runs strong across many demographic groups in Mississippi. As of 8 p.m., an overwhelming 88 percent of black voters were supporting Clinton, compared to just 12 percent for Sanders. Black voters made up nearly seven in 10 voters in Mississippi. Clinton is performing well with white voters in the state, too.
Clinton also has a significant lead among women voters (81 percent support) and men (74 percent). Most Democratic voters in Mississippi were looking for a candidate with political experience, and Clinton won the support of about eight out of 10 of those voters.
7:15 p.m. ET
More than seven out of 10 Mississippi Democrats want the next president to continue President Obama's policies:
7 p.m. ET
An update on exit polling from Michigan -- as reported earlier, around 40 percent of Michigan Democrats say the economy and jobs is the most important issue to them:
6 p.m. ET
More exit polling data: More Democratic primary voters in Michigan and Mississippi believe that trade with other countries takes away U.S. jobs than creates new ones. Democrats in the industrial state of Michigan are more likely to be negative about the effects of foreign trade:
- Takes away jobs: Mississippi, 43 percent; Michigan, 56 percent
- Creates new jobs: Mississippi, 39 percent; Michigan, 31 percent
Very large numbers of Democratic voters in Michigan and Mississippi think that the U.S. economic system generally favors the wealthy rather than being fair to most Americans:
- Generally favors the wealthy: Mississippi, 79 percent; Michigan, 88 percent
Just about half of the Democratic primary voters in Michigan and Mississippi say that race relations have gotten worse in this country in the last few years; only about one in seven thinks it has gotten better.
About eight in 10 Democratic primary voters in Michigan and Mississippi say they made up their minds who to vote for over a week ago.
5:28 p.m. ET
The economy is the top issue for Democratic voters in Michigan and Mississippi today, according to CBS News exit polling.
Democratic candidates Hillary Clinton and Bernie Sanders are competing for as many as 188 delegates from the two states, which are holding both Democratic and Republican primaries on Tuesday. Here is where the candidates currently stand in the delegate count, before Michigan or Mississippi votes are tallied:
In Mississippi, as many as 40 percent said the economy and jobs are the most important issue to them, the exit polling shows. In Michigan, 43 percent say so. In Mississippi, another 25 percent said health care was the most important, while 20 percent named income inequality.
In Michigan, slightly more people named income inequality (26 percent) than health care (22 percent).
As for the candidate qualities that mattered the most, 31 percent of of Mississippi voters and 32 percent of Michigan voters said they're looking for a candidate who "cares about people." Thirty percent of Mississippi voters and 28 percent of Michigan voters said they're most concerned with a candidate having the right experience. Slightly more voters in Michigan (27 percent) than in Mississippi (22 percent) named honesty as the most important quality. Just 13 percent in Mississippi and 11 percent in Michigan said they're looking for a candidate who can win in November.
Majorities of Democratic voters in both of these states (52 percent in Michigan and 72 percent in Mississippi) want to see the next president continue President Obama's policies.
Unlike Republican primary voters, Democratic voters say experience is more important than being an outsider.
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