Answer
Yes. No.
Work Step by Step
According to item (c), we are 95% confident that the proportion of adults who say they always wash their hands in public rest rooms is between 0.903 and 0.937. But, it is possible that the population proportion, $p$, is not in this interval.
Anyway, given the confidence interval above, we are not likely to obtain a sample in which the proportion is less than 0.85.