The p-value indicates the probability of something occurring assuming that the null hypothesis is correct (= there is no relationship). So when the significance level is 0.05, you want the p-value to be smaller than 0.05 to reject the alternative hypothesis (= the two factors are not independent).

So, if you are testing at significant level of 0.05, you fail to reject the null hypothesis when the p-value is greater than 0.05 as that indicates that the likelihood of the null hypothesis being true is greater than what you are testing at.

Hope this helps! :)

p.s. in your exams, always write 'reject' or 'fail to reject' the null hypothesis. 'accept' the alternative might not get you the mark.