Find the critical value(s) and rejection region(s) for the type of z-test with level of significance $\alpha$. Include a graph with your answer.
Two-tailed test, $\alpha=0.09$
The critical value(s) is/are $z=$
(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Step 1 ：In a two-tailed test, the rejection regions are at both ends of the distribution. The level of significance, \(\alpha\), is split between these two tails. In this case, \(\alpha=0.09\), so each tail will contain \(\alpha/2=0.045\) of the distribution. We need to find the z-scores that correspond to these tail areas.

Step 2 ：The critical values for a two-tailed z-test with a level of significance of 0.09 are approximately -1.70 and 1.70. These are the z-scores that correspond to the tail areas of the distribution. Any test statistic that falls beyond these values, in the rejection regions, would lead us to reject the null hypothesis.

Step 3 ：Final Answer: The critical values are \(\boxed{-1.70, 1.70}\).