Answer
Yes, I would be surprised if fewer than half covered their mouth because the probability of that event happening is 0.02721 which is less than 0.05.
Work Step by Step
If fewer than 5 people covered their mouth when they sneeze, it means that more than half of the people did not cover their mouth when sneezing.
As such we have to find $P(x > 5)$
$P(x > 5)$
= $1 - P(x \leq 5)$
= $1-0.97279$
= $0.02721$
** 0.97279 was obtained using excel because p = 0.267 is not a probability that can be read off of Table IV.
