Answer:
They claim that 90% of the times, the orders arrive in time.
Then, out of N orders, (90%/100%)*N of them will arrive in time.
Here we have that N = 20
then the number that arrives in time is:
(90%/100%)*20 = 18
Now, experimetally we see that 4 times her packages arrived after noon (so 16 times the packages arrived in time), so we can calculate the experimental percentage as:
(X/100%)*20 = 16
X = (16/20)*100% = 80%
so the percentages doesn't match, so it the claim is not really accurate, but this is a small sample, so if the number of times that she uses the delivery increases, we may see that the experimental percentage gets closer to the claimed percentage.