Food? Yes. Read the article. Food, yes. Housing, yes. Gasoline, yes. Doctor's visits, yes. Clothing, yes. Transportation, yes. Insurance, yes.
In fact, it's hard to know for sure what the bottom line will be. Cain's website lists zero exemptions to the 9% sales tax. Cain himself seems to exempt items at a whim, depending on who he is talking to. It'd be nice if he would make up his mind.
I don’t know what you are reading, but none of those things are sales tax deductions under Cain’s plan and he reiterated that in the interview.
Again, this part of Cain’s plan has been hashed out for years by the Fair Tax folks. http://www.fairtax.org