2-sample test for equality of proportions with continuity correction

data: c(21, 239) out of c(36, 882)

X-squared = 15.1204, df = 1, p-value = 1

alternative hypothesis: less

95 percent confidence interval:

-1.0000000 0.4641915

sample estimates:

prop 1 prop 2

0.5833333 0.2709751

Now, my stats guy here told (and I rather not ask him again the same thing) that if my p-value was anywhere above 0.05 I should accept the null hypothesis and accept the alternative hypothesis. So if I get p-value = 1, according to my own alternative hypothesis, would that mean that there are no significant differences between my two samples? Let me know, because I intuitively expected quite the opposite.

Thanks a lot for any help.