Find the critical value \( z_{\alpha / 2} \) that corresponds to the given confidence level. \( z_{\alpha / 2}=\square \) (Round to two decimal places as needed.)

To find the critical value \( z_{\alpha / 2} \) corresponding to a specific confidence level, you'll first need to determine what the confidence level is. For example, a 95% confidence level would mean \( \alpha = 0.05 \), and thus \( \alpha / 2 = 0.025 \). You can then look up this value in the standard normal distribution table or use a calculator that provides the inverse cumulative distribution function. For a 95% confidence level, \( z_{0.025} \approx 1.96 \). To find \( z_{\alpha / 2} \) for other confidence levels: First, calculate \( \alpha \) (1 minus the confidence level), then divide that by 2 to find \( \alpha / 2 \), and reference a z-table or calculator to find the corresponding z-value. Always remember to round your final answer to two decimal places!