Final answer:
The incorrect statement about PKU that indicates a need for further teaching is that it primarily affects the gastrointestinal system. PKU actually affects the central nervous system and brain due to high levels of phenylalanine.
Step-by-step explanation:
The statement by the student that indicates a need for further teaching about phenylketonuria (PKU) is: "PKU primarily affects the gastrointestinal system." This statement is incorrect as PKU primarily affects the central nervous system and the brain, due to the toxic levels of phenylalanine that can't be adequately broken down. The correct statements made by the student are that PKU is an autosomal-recessive disorder, treatment includes dietary restriction of phenylalanine, and all 50 states require routine screening of newborns for PKU.