Is it harder to find statistical significance using a test with level 0.05 or a test with

Question:

Is it harder to find statistical significance using a test with level 0.05 or a test with level 0.01? In other words, would a test that is statistically significant using 0.05 always be statistically significant using 0.01, would it be the other way around, or does it depend on the situation? Explain your answer.