Final answer:
Amniocentesis is typically performed between the 14th and 20th weeks of pregnancy, not as early as the sixth week as stated in the question, making the statement incorrect.
Step-by-step explanation:
The statement 'It can normally be done as early as the sixth week of pregnancy' is not correctly identified as an advantage of using amniocentesis. Amniocentesis is typically performed between the 14th and 20th week of pregnancy. This procedure can indeed be used to detect chromosome abnormalities and to obtain fetal DNA to test for certain genetic disorders, including neural-tube defects.