Mark ‘TRUE’ or ‘FALSE’ for each of the following.
$\left(A\right)$ The test statistic & the critical value are the same thing.

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

Answer: (B)

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., standard normal \( Z \)-distribution or \( t \)-distribution). For example, for a two-tailed test, find the critical values \( \pm z_{\alpha/2} \).
4. Define the rejection region(s) based on the critical value(s). For instance, in a right-tailed test, the rejection region is \( \{ x : x > z_{\alpha} \} \).
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.