Exactly. Moreover, a look at the permissions required by Facebook app would reveal how much information it collects about you:
Device & app history
retrieve running apps
Identity
find accounts on the device
add or remove accounts
read your own contact card
Calendar
read calendar events plus confidential information
add or modify calendar events and send email to guests without owners' knowledge
Contacts
find accounts on the device
read your contacts
modify your contacts
Location
approximate location (network-based)
precise location (GPS and network-based)
SMS
read your text messages (SMS or MMS)
Phone
directly call phone numbers
read call log
read phone status and identity
write call log
Photos/Media/Files
read the contents of your USB storage
modify or delete the contents of your USB storage
Storage
read the contents of your USB storage
modify or delete the contents of your USB storage
Camera
take pictures and videos
Microphone
record audio
Wi-Fi connection information
view Wi-Fi connections
Device ID & call information
read phone status and identity
Other
download files without notification
adjust your wallpaper size
receive data from Internet
view network connections
create accounts and set passwords
read battery statistics
send sticky broadcast
change network connectivity
connect and disconnect from Wi-Fi
expand/collapse status bar
full network access
change your audio settings
read sync settings
run at startup
reorder running apps
set wallpaper
draw over other apps
control vibration
prevent device from sleeping
toggle sync on and off
install shortcuts
read Google service configuration