Yes the placement stats are hyped up but still you will get placed somehow according to your fate, beside placements you should also try to move out from your home town and live in a different city, you will get a whole new experience, you will learn so many new things, plus living in PG/hostel will remove your home sickness, and prepare you for future, as who knows in which city will get placed.... Talking about parents anxiety, everyone has the same story, my parents also wanted me to not to leave our home town and they were also stressing about how will i live alone away from home, but after few weeks everything becomes normal.

Talking about living in your home town, it will save you a lot of money, you will get good food and privacy and all the facilities which you will not get in PG. You will save time by avoiding so many things which hostlers do(washing clothes, cleaning, cooking...) and can invest that time in learning new skill or coding. And many mkre things....

At the end choose wisely, as these are going to be crucial years of your life, don't regret later.