The right choice would be D. Premier : Country :: Teacher : school.
Other options doesn't match at all. They are off point, especially A and B.
Since a speculation does not have firm evidence, it is a hypothesize.
So the final answer is:-
C. Hypothesize
A misplaced modifier is a word, phrase, or clause that has landed in the wrong place in the sentence. A modifier must be placed next to the word it modifies. When the modifier is incorrectly placed, the sentence either communicates meaning the writer did not intend--or makes no sense at all!