two sided wilcox test

Hey, could I just ask you a quick question?


if i have two sets of numbers, eg:

list1 = 1,3,4,4,4 list2 = 1,2,4,5,6



and in R, i run the command:

wilcox.test(list1, list2, paired=TRUE, alternative="greater")

and say i get a p-value of 0.0001

Does this tell me that my values in list 1 tend to be larger than my
values in list 2, and that the difference in the distributions is
significant?