Mark ‘TRUE’ or ‘FALSE’ for each of the following.
$\left(B\right)$ The critical value is the boundary of the rejection region.

• A. TRUE
• B. FALSE
• C. Cannot be determined

Answer: (A)

Verified step by step guidance

1. Identify the type of hypothesis test you are conducting (e.g., left-tailed, right-tailed, or two-tailed) based on the research question or claim.
2. Determine the significance level \( \alpha \) for the test, which represents the probability of rejecting the null hypothesis when it is true.
3. Find the critical value(s) corresponding to the significance level \( \alpha \) and the type of test using the appropriate statistical distribution (e.g., z-distribution for large samples or t-distribution for small samples). For example, for a z-test, use the standard normal distribution table to find \( z_{\alpha} \) or \( z_{\alpha/2} \).
4. Define the rejection region(s) based on the critical value(s). For a right-tailed test, the rejection region is \( z > z_{\alpha} \); for a left-tailed test, it is \( z < -z_{\alpha} \); and for a two-tailed test, it is \( z < -z_{\alpha/2} \) or \( z > z_{\alpha/2} \).
5. Use the critical value(s) and rejection region(s) to decide whether to reject or fail to reject the null hypothesis after calculating the test statistic from your sample data.