i have wifi off when sleeping, it drains 3% or more percent overnight, i know its not much, but i had other tablets with lollipop that didnt drain. plus putting my palm where the front camera is, loses 75% of wifi conectivity and download speed!
1. 3% in 8 hours isn't bad. If the tab draws 0 in 8 hours, it's lying to you.
2. The wifi antenna may not be solidly connected or there may be a problem with the baseband (which is the firmware that runs the radios). See if your carrier's tech people (in the store, not on the phone) can help you - maybe by reflashing the update. (Back up everything, just in case - see Backing up an Android Device.)