Question: Are Phil Rosen and Paul Bogart American film directors?

Context paragraphs:
The President's Mystery: The President's Mystery is a 1936 American film directed by Phil Rosen.

I Killed That Man: I Killed That Man is a 1941 American film directed by Phil Rosen that was a remake of his 1933 film "The Devil's Mate".  It starred Ricardo Cortez and was produced by the King Brothers.

Beggars in Ermine: Beggars in Ermine is a 1934 American film directed by Phil Rosen.

Paul Bogart: Paul Bogart (November 21, 1919 – April 15, 2012) was an American television and film director and producer.

Born to Gamble: Born to Gamble (1935) is an American film directed by Phil Rosen and released by Republic Pictures.

Phil Rosen: Phil Rosen (May 8, 1888 – October 22, 1951) was an American film director and cinematographer.  He directed 142 films between 1915 and 1949.

The Scarlet Clue: The Scarlet Clue is a 1945 American film directed by Phil Rosen.

Road to Happiness: Road to Happiness is a 1942 American film directed by Phil Rosen.

Roar of the Press: Roar of the Press is a 1941 American film directed by Phil Rosen.

Paper Bullets: Paper Bullets is a 1941 American film directed by Phil Rosen and starring Joan Woodbury.  It was the first film produced by the King Brothers, launching their career.

Supporting paragraphs: Phil Rosen Paul Bogart
Answer: yes