Answer
Yes, I would be surprised if more than 4 individuals covered their mouth with a tissue, handkerchief or elbow. This is because P(x > 4) is approximately 0.0005 which is smaller than 0.05.
Work Step by Step
$ P(x > 4)$
= $1 - P(x\leq4)$
= $ 1 - 0.999537$
= 0.000463
$\approx$ 0.0005
$P(x\leq4)$ was found using the binomial function in excel:
BINOM.DIST(4,15,0.047,TRUE)