1.1. Explain one advantage of using critical regions instead of $p$-values for a hypothesis test.

1.2. A test of the null hypothesis  ${H}_{0}:p=0.2$ against the alternative hypothesis ${H}_{1}:p<0.2$ is carried out for the random variable $X\textasciitilde{}B(n,p)$. 

The table below shows the probabilities for different values that $X\textasciitilde{}B(n,0.2)$can take:

Calculate the $p$-value for the test statistic $x=3$.

1.3. (i) Using a 5% level of significance, find the critical region for the test.

(ii) State the actual level of significance for the test.