PHILADELPHIA, May 17 (Reuters) - Republican candidates endorsed by former President Donald Trump won their party's nod to run for the U.S. Senate in North Carolina and for governor in Pennsylvania on Tuesday, key races that will help shape the November midterm elections.

Pennsylvania state Senator Doug Mastriano, who has amplified Trump's false claims of 2020 voter fraud, will face Democratic Attorney General Josh Shapiro in a high-profile governor's race.

In Pennsylvania's U.S. Senate race, Lieutenant Governor John Fetterman won the Democratic nomination despite having been hospitalized since Friday after suffering a stroke.

Fetterman, a progressive Democrat whose victory over centrist U.S. congressman Conor Lamb came just hours after he had a pacemaker implanted to address the irregular heart rhythms that caused the stroke, has said doctors expect a full recovery.

His Republican opponent remains to be decided, with TV wellness celebrity Mehmet Oz - endorsed by Trump - essentially deadlocked with former hedge fund executive David McCormick with just under two-thirds of the vote counted, according to Edison Research. Conservative political commentator Kathy Barnette, who polls suggested made a late surge into contention, was in third place.

"If you'll allow me to be brutally honest for a second, 2022 is going to be hard year for Democrats," the tattooed, goateed Fetterman, who prefers shorts and hoodies to suits, said in an fundraising email to supporters. "A typical...

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