South Africans, Nigerians and Kenyans all say healthcare and education will be better for the next generation.
More than three-quarters also say that young people who want a good life should stay in their countries rather than emigrate, the Pew report found.
The research agency interviewed 3,330 respondents for the study.
Respondents reported high levels of political engagement, with majorities saying that ordinary citizens could influence their governments if they make the effort.
More than half said they had voted in the past year or at some point in the past – roughly the same level as in the US.
Read more at pewglobal.org