Earlier quoted context omitted.
I have a Dell laptop I bought within the last couple of months. Hibernate is not in the start menu, and the option to add it to the start menu has been disabled. It's still possible to assign "hibernate" as the action taken in response to various power-related actions such as closing the lid or pressing the power button. This makes no sense; I'm not sure what's going on.
You can enable the start menu hibernate button in advanced power settings: System -> Power & sleep -> Additional power settings -> Choose what the power buttons do -> Change settings that are currently unavailable -> Check Hibernate. And then get lucky that your laptop wakes up again (mine dies 1 out of 10 times) Edit: sorry, can't read.
"Turn on fast startup (recommended)" is checked, and that option is also disabled and can't be unchecked, despite obviously being undesirable.