1. The problem involves testing a hypothesis with a significance level of 5% and determining the critical values for the test. 2. At a 5% significance level, the critical region is typically split into two tails for a two-tailed test: the lower 2.5% and the upper 2.5% of the distribution. 3. The statement "answer is \(\leq 20\) or \(\geq 40\) at the 5% significance level" means the critical values are 20 and 40. 4. This implies that if the test statistic is less than or equal to 20 or greater than or equal to 40, we reject the null hypothesis. 5. The critical values define the rejection regions for the hypothesis test at the 5% significance level. 6. Therefore, the conclusion is that the test statistic must fall outside the interval \((20, 40)\) to reject the null hypothesis at the 5% level.