To be statistically significant is another way of saying that a p-value is so small that it might reject a null hypothesis.
This table shows when the p-value is significant.
P-value
Decision
P-value > 0.05
Not statistically significant and do not rejects the null hypothesis.
P-value < 0.05
Statistically significant and rejects the null hypothesis in favour of the alternative hypothesis.
P-value < 0.01
Highly statistically significant and rejects the null hypothesis in favour of the alternative hypothesis.