The California economy may be strong in the Bay Area and unemployment low statewide, but voters are feeling anxious about their future — and they’re taking it out on their elected officials, according to a new poll.

Democratic Gov. Gavin Newsom, Democratic Sens. Dianne Feinstein and Kamala Harris and the Democratic-led Legislature all saw their poll ratings drop in a survey released Wednesday by the nonpartisan Public Policy Institute of California.

Fewer than half of likely voters surveyed approve of the job being done by Feinstein (44%) and Harris (43%). That’s a drop from the institute’s March survey, when 48% of voters backed them both. Newsom’s approval number remained the same as a poll in January, when he took office, but his disapproval rating jumped 15 points to 44%.

The institute found that only 38% of likely voters of those surveyed approved of the Legislature’s performance, down from 46% in January.

Voters’ souring mood about their elected state officials coincides with a drop in the number who think California is going in the right direction — down to 41%, from 51% in January. Voters haven’t felt that dour about the direction of the state since 2015.

The feeling of impending doom is surprising in light of the low unemployment rate in California (4.1%), the state budget surplus and the generally strong economy, said Mark Baldassare, president and CEO of the Public Policy Institute.

“People are very anxious,” he said. “They’re anxious about what’s going on now (and) their economic future. They’re worried about gridlock. Congress changed hands and it didn’t improve how people think of them” — just 24% of those polled viewed Congress positively.

“They don’t see any relief from this,” Baldassare said.

And they’re pessimistic about other parts of their daily lives, too.

A strong majority of Californians surveyed worry a lot (29%) or some (21%) that someone they know could be deported. Two of every three are concerned about being able to cover the cost of health care over the next few years. Nearly 2 in 3 fear there could be a mass shooting near where they live.

“There’s a lot of fear,” Baldassare said. And it is rooted in concern “that a lot of issues aren’t being addressed.”

Meanwhile, support for President Trump “has been remarkably steady, but it’s very low,” Baldassare said. Only 35% of likely voters surveyed in California approve of the job he’s doing, which is roughly the same rate he’s held for the past year.

The institute surveyed 1,031 likely voters from Sept. 16-25. The margin of error was 4.2 percentage points.

Joe Garofoli is The San Francisco Chronicle’s senior political writer. Email: jgarofoli@sfchronicle.com Twitter: @joegarofoli