what are the critical value. Round the answer(s) to at least three decimal places

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

Learn how to determine the critical value for a hypothesis test with significance level α = 0.025 for a left-tailed test. Understand the steps involved, including identifying the significance level and using the standard normal distribution. Useful for college-level students and professionals in statistics.

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