Question

 1. True or False? If we would reject a null hypothesis at the 5% level, we would also reject it at the 1% level.

2. True or False? Other things being equal, a small level of significance is desirable

Answer 1

Solution(1)
This statement is false that if we would reject a null hypothesis at the 5% level, we would also reject it at the 1% level.
If p-value is less than alpha value than we can reject the null hypothesis. At alpha = 0.05, we can reject the null hypothesis that means p-value is less than 0.05, but that doesn't mean that p-value is less than 0.01, so we can say that this statement is false.

Solution(2)
This statement is true that the other tings being equal, a small level of significance is desirable. Level of significance is the probability of type I error. we would always like to have it small.