Since a speculation does not have firm evidence, it is a hypothesize.
So the final answer is:-
C. Hypothesize
I didn't understand what you meant by "underlined words" because there aren't any underlined words, but here's the sentence rewritten:
Often, we are invited to the parties.
Answer: Lucy repeated the experiment practically a zombie fatigue, until she was not believing the results from the spectrometer or even her own eyes.
I think it's VANITY
Explanation:
I just looked up each definition