Determine whether each statement is true or false. $(3$ points each$)$

In a two$-$tailed test, the null hypothesis should be rejected when the test value is in either of the two critical regions.

Rejecting the null hypothesis when it is true is called a Type II error.

No error is committed when the null hypothesis is rejected when it is true.

When the value of $$ is decreased, the probability of committing a type I error is decreased.

Let $z$ be a standard normal variable; then