Premise:
"There was no word on what they ate."
Hypothesis: They were eating some food.

yes

Premise:
"Crop yield is poor, partly because of the chronic lack of water, and fields once tended are now deserted."
Hypothesis: The chronic lack of water began with a bad drought several years ago.

it is not possible to tell

Premise:
"yeah right yeah yeah we do and it's real interesting too the difference in my kids like um my oldest loved Sesame Street and"
Hypothesis: Sesame street was a show that my oldest child loved.
yes