Final answer:
The statement is false; overwinding DNA would increase the number of turns, leading to supercoiling. Supercoiling is managed by topoisomerases to ensure DNA can be compacted and replicated properly.
Step-by-step explanation:
The statement 'Overwinding of the DNA decreases the number of turns in the double helix, resulting in supercoils in the DNA' is false. Overwinding of DNA would increase, not decrease, the number of turns in the double helix. When DNA is overwound, this means there are more than one turn per 10 base pairs, compared to its normal relaxed state.
The process of supercoiling can occur in response to the overwinding and is a way for DNA to fit within the limited space of the cell. Proteins like topoisomerases, including DNA gyrase, play a crucial role by introducing or relaxing supercoils, managing DNA tension, and ensuring proper DNA replication without damage to the molecule.