Part 2 of 5 Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): \( -1.96,1.96 \)

To find the critical values, we typically refer to the standard normal distribution (Z-distribution) when dealing with hypothesis testing or confidence intervals. The critical values you provided, \( -1.96 \) and \( 1.96 \), are commonly used for a 95% confidence level in a two-tailed test. ### Explanation of Critical Values: 1. **Definition**: Critical values are the points on the scale of the test statistic beyond which we reject the null hypothesis. They correspond to the tails of the distribution. 2. **Standard Normal Distribution**: For a standard normal distribution: - The area to the left of \( -1.96 \) is 0.025 (2.5%). - The area to the right of \( 1.96 \) is also 0.025 (2.5%). - Together, these areas account for 5% of the total area under the curve, which is why these values are used for a 95% confidence level. ### Conclusion: The critical values you provided are correct for a 95% confidence level in a two-tailed test. Thus, the critical values are: \[ \text{Critical value(s)}: -1.96, 1.96 \] If you need further calculations or explanations, please let me know!