Final answer:
The statement is false; Lorraine Hansberry wrote 'A Raisin in the Sun', not the Pulitzer Prize-winning 'Topdog/Underdog', which was authored by Suzan-Lori Parks.
Step-by-step explanation:
The statement that Lorraine Hansberry is the African American author of the Pulitzer Prize-winning play, Topdog/Underdog, is false. Lorraine Hansberry is indeed an African American playwright, but she is most famous for her play A Raisin in the Sun, which debuted on Broadway in 1959. This play explores the dreams and conflicts within an African American family in Chicago. The play that won the Pulitzer Prize, Topdog/Underdog, was written by Suzan-Lori Parks and is not associated with Hansberry.