Riding a wave of non-stop publicity, a new poll this past week shows mogul Donald Trump solidly in first place among likely Republican primary and caucus voters nationwide. The new Zogby Analytics poll of 256 likely voters was conducted online July 22-23 shows Mr. Trump leading with the support of 20% of those polled.

He is followed by former Florida Governor Jeb Bush with 16%, Wisconsin Governor Scott Walker 12%, Kentucky Senator Rand Paul 9%, neurosurgeon and author Dr. Ben Carson 7%, Florida Senator Marco Rubio and former Arkansas Governor Mike Huckabee 6% each, Texas Senator Ted Cruz 5%, New Jersey Governor Chris Christie 3%, Ohio Governor John Kasich and Louisiana Governor Bobby Jindal 2%, and everyone else at 1% or less.

If dominating the airwaves is the name of the game, then Mr. Trump has got game. Mr. Bush leads among men with 21% to 17% for Mr. Paul, 16% for Mr. Walker, and 12% for Mr. Trump. But Mr. Trump has a huge lead among women -- 26% to 10% for Mr. Bush and 7% for Mr. Walker.

Mr. Bush holds a five point margin over Mr. Trump among Republicans -21% to 16%, with Mr. Walker at 10%. But Mr. Trump is garnering almost one in three self-identified independents (31%) to 15% for Mr. Walker and 13% for Mr. Bush. Mr. Trump also leads among conservatives 18% to 16% each for Mr. Bush and Mr. Walker - but with a campaign and persona hardly known for its moderation, Mr. Trump holds an eight point margin over Mr. Bush among moderates (28%-20%), with 12% for Mr. Rubio.

Mr. Paul continues to do best among 18-29 year old likely GOP primary and caucus voters with 26%, while Mr. Bush and Mr. Trump score 14% each.

The entire poll was taken after the announcement by Ohio Governor John Kasich, but Mr. Kasich gained no publicity nor increased support as a result.