Clinton and Trump tied in national poll

Hillary ClintonHillary Diane Rodham ClintonHillary Clinton slams Trump for spreading 'sexist trash' about Pelosi Gillibrand seizes on abortion debate to jump-start campaign DNC boss says candidates to be involved in debate lottery MORE and Donald TrumpDonald John TrumpA better VA, with mental health services, is essential for America's veterans Pelosi, Nadler tangle on impeachment, contempt vote Trump arrives in Japan to kick off 4-day state visit MORE are tied in the race for the presidency as the Democratic National Convention opens, according to a new poll.

Clinton and Trump each have the support of 42 percent of voters nationwide in a CBS News survey released Monday morning.

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Trump and Clinton each gained 2 points since the last CBS News poll, before his formal nomination at the Republican National Convention last week and her announcement Friday of Sen. Tim KaineTimothy (Tim) Michael KaineOvernight Defense: Details on Senate's 0B defense bill | Bill rejects Trump plan to skirt budget caps | Backfills money for border wall | Defense chief says more troops could head to Mideast Dem senator plans amendment to restrict military action against Iran Overnight Defense: Iran worries dominate foreign policy talk | Pentagon reportedly to send WH plans for 10K troops in Mideast | Democrats warn Trump may push through Saudi arms sale | Lawmakers blast new Pentagon policy on sharing info MORE (D-Va.) as her running mate.   

A CNN/ORC Poll also released Monday morning shows Trump with a 3-point lead over Clinton, 48 percent to 45 percent, after a 6-point post-convention boost for the businessman.

Seventy-four percent of those polled by CBS said they watched the GOP convention in Cleveland, with most saying it improved their perception of Trump. Fifty percent said the event made them feel better about Trump, and 36 percent said it hurt their view of the billionaire.

Many voters still have concerns about Trump, however, with 58 percent saying he is unprepared for the presidency.

Fifty-six percent said he is not honest; 61 percent said he lacks the temperament and personality for the nation’s highest office.

Half of voters view Clinton as prepared for the White House, meanwhile, with the same proportion calling her a strong leader.

Fifty percent say she also has the temperament for the Oval Office, but 66 percent say she is not trustworthy.

CBS News conducted its latest sampling of 1,118 registered voters via cellphone and landline telephone interviews July 22–24. It has a 4 percentage point margin of error.