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As I found out when I went to review my power options, deleting the (often unused, but very large) hibernation file effectively disables Hybrid Sleep and Hibernation.
To get them back, go to the Command Prompt and enter "powercfg -h on". Reopen the Power Options screen, and you should now see options for Hybrid Sleep and Hibernation.
I hope this helps, and I thank Greg for all the useful, informative articles he's written!