Final answer:
The statement by sociologist Erica Palmer offers the most direct evidence supporting the benefits of multigenerational households, by highlighting the shared responsibilities and reduced stress for parents.
Step-by-step explanation:
The strongest evidence to support the claim that multigenerational households benefit families is: "Sociologist Erica Palmer says, 'When a grandparent lives in the home, parents feel less pressure because there's another adult to cover childcare and other domestic responsibilities.'" This statement directly addresses the benefits within the household dynamics, such as reduced stress for parents and shared domestic responsibilities. While statistical data from the Pew Research Center and personal anecdotes provide context, they do not address the claim's benefit as directly as the professional opinion of sociologist Erica Palmer.