Final answer:
The exact aspect of the American Dream valued most by U.S. adults according to a recent Pew Research survey is not specified in the provided information, making it impossible to determine whether it's homeownership, financial stability, career success, or educational attainment.
Step-by-step explanation:
According to a recent Pew Research survey, the aspect of the American Dream that U.S. adults value most is not explicitly mentioned within the provided text, so I am unable to confidently answer whether it is homeownership, financial stability, career success, or educational attainment. The American Dream encompasses ideals such as opportunity, prosperity, success, and social mobility, and can be associated with hard work, educational pursuit, and economic recovery. It also reflects societal views and changes in thoughts about the possibility of achieving these ideals, as seen in polling data that suggests some believe the dream is becoming increasingly elusive.