Question

Draw an example of a region that is (a) type I but not type II (b) type II but not type I

Answer 1

An example of a region that is type I but not type II is given. An example of a region that is type II but not type I is also given.

Step-by-step explanation:

(a) An example of a region that is type I but not type II is the shaded region in the figure below:

In this case, the region is shaded to the left of the critical value, which means it falls in the rejection region for a type I error but not for a type II error.

(b) An example of a region that is type II but not type I is the shaded region in the figure below:

In this case, the region is shaded to the right of the critical value, which means it falls in the rejection region for a type II error but not for a type I error.