JUDY WOODRUFF: Today brought a sizable shift in the presidential race. The Republican front-runner turned his attention from his rivals to his world view. But one of those rivals rolled out a running mate.

John Yang reports on this campaign day.

DONALD TRUMP (R), Republican Presidential Candidate: It's time to shake the rust off America's foreign policy. It's time to invite new voices and new visions into the fold.

JOHN YANG: Donald Trump, fresh from a decisive sweep of Tuesday's primaries, delivered his first major speech on foreign policy.

SEN. TED CRUZ (R-TX), Republican Presidential Candidate: Carly Fiorina!

JOHN YANG: Ted Cruz answered with a headline of his own, naming former rival Carly Fiorina as his running mate.

SEN. TED CRUZ: This ticket is about the future. It is about our children. It is about our grandchildren. The stakes of this election, we are not simply wagering on a sporting contest.

CARLY FIORINA (R), Republican Vice Presidential Candidate: This is a fight worth having. This is a fight worth winning. And with your help, we will win this fight!

JOHN YANG: Cruz is banking on next week's Indiana primary to give him new life. Trump now has more than three-quarters of the delegates he needs for a first-ballot victory. Last night, he declared himself the presumptive nominee, and took aim at the Democrats' likely standard-bearer, Hillary Clinton.

DONALD TRUMP: Well, I think the only card she has is the woman's card. She has nothing else going for her. And, frankly, if Hillary Clinton were a man, I don't think she would get 5 percent of the vote.

JOHN YANG: Clinton answered the jibe after winning four states, putting her 90 percent of the way to clinching the nomination.

HILLARY CLINTON (D), Democratic Presidential Candidate: Well, if fighting for women's health care and paid family leave and equal pay is playing the woman card, then deal me in!

JOHN YANG: But Bernie Sanders is not ready to throw in his hand. The Vermont senator spoke today in West Lafayette, Indiana.

SEN. BERNIE SANDERS (VT-I), Democratic Presidential Candidate: We are in this campaign to win and to become the Democratic nominee.

JOHN YANG: At the same time, Sanders told The New York Times he plans to lay off hundreds of campaign workers and focus on winning California.

For the "PBS NewsHour," I'm John Yang.

JUDY WOODRUFF: We will examine the race, and hear more of Donald Trump's foreign policy speech, after the news summary.