A school district superintendent claims that 70% of the parents living in the district favor face- to-face class meeting during the spring semester. To test the superintendent's claim, 30 parents who reside in the district are randomly selected, yielding 27 who prefer face-to-face class meetings. a. If the superintendent's claim is correct, what is the probability that exactly 27 would prefer face-to-face class meetings? b. If the superintendent's claim is correct, what is the probability that the sample would contain at least 27 who prefer face-to-face class meetings? c. Based on observing 27 in a sample of size 30 who prefer face-to-face class meetings, what do you conclude about the superintendent's claim that 70% of district parents prefer face-to- face meetings?