Sunita Williams, a renowned astronaut and former NASA astronaut, has Indian ancestry. Her ancestors are from Gujarat, specifically from the town of Bhavnagar in Gujarat. Sunita's maternal grandparents were from Gujarat, making her have strong ties to the state.
Here's why the other options are incorrect:
- Option (1): Tamil Nadu: While Tamil Nadu is a significant state in India with many notable figures, it is not related to Sunita Williams' ancestry.
- Option (2): Kerala: Kerala is another important state in India, but it does not have any connection to Sunita Williams' ancestral roots. - Option (3): Odisha: Odisha is known for its rich cultural heritage, but it is not associated with Sunita Williams' ancestry.
- Option (4): Gujarat: This is the correct answer, as Sunita Williams' ancestors are from Gujarat, particularly from Bhavnagar.
Answer: $\boxed{\text{Gujarat}}$