"conducted a study on" is correct and can be used in written English.
You can use it when referring to a research project or investigation about some topic. For example: "The researchers conducted a study on the effects of air pollution on health."
She conducted a study on the Holocaust for the Vidal Sassoon Center for the Study of Anti-Semitism, in Jerusalem.
A couple of years ago, my colleagues and I conducted a study on decision-making in university partnerships.
In the 1990s, Vincent Felitti and Robert Anda conducted a study on adverse childhood experiences.
Back in 2003, the Securities and Exchange Commission conducted a study on hedge funds and determined that their investors were mostly institutions.
A few years before Best Buy axed its Results Only Work Environment (ROWE) telecommuting program, the University of Minnesota conducted a study on the program's benefits.
Also deserving credit are William Reichenstein and Steven Rich, finance professors at Baylor University who conducted a study on a variant of the model in the early 1990's.
Keep the charity brand central: We recently conducted a study on a mass-particpation run (80,000 runners) and found that the challenge of the event was more important than the fundraising for participants.
Mr. LeRoy conducted a study on how various administrations, including those of Presidents Harry S. Truman and Dwight D. Eisenhower, sometimes accused unions of being unpatriotic when they went on strike during the Korean War and the cold war.
A front-page article on Tuesday about a decline in the number of foreign applicants to American universities misstated the name of the organization that conducted a study on the globalization of higher education.
We have conducted a study on 366 university students.
In 2004 Shaw et al., conducted a study on prisoners judged to have died by suicide.
