To find the critical value for this hypothesis test, we need to use the significance level $\alpha = 0.025$ for a left-tailed test.

Steps to Determine the Critical Value:

1. Identify the Significance Level: $\alpha = 0.025$

2. Determine the Corresponding Z-Score: For a left-tailed test with $\alpha = 0.025$, we look up the critical value in the standard normal (Z) distribution