I always found statistics deeply disturbing when I was studying it at school.
You can establish a null hypothesis and then test at some confidence interval (say, 99%) and find that your null hypothesis still holds.
But, being somewhat ingenious, you may decide to lower the confidence interval (to, say, 98%) and find that your experimental evidence is now significant enough for you to reject your null hypothesis and accept your alternative hypothesis.
Lies, damned lies, and statistics, indeed.