Mark ‘TRUE’ or ‘FALSE’ for each of the following.
$\left(C\right)$ You should always reject $H_0$ if the test statistic is greater than the critical value.

• 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 problem context or the alternative hypothesis.
2. Determine the significance level \( \alpha \) for the test, which represents the probability of rejecting the null hypothesis when it is true.
3. Using the significance level and the type of test, find the critical value(s) from the appropriate statistical distribution (e.g., standard normal \( Z \)-distribution or \( t \)-distribution). For example, for a two-tailed test, find the critical values that correspond to \( \alpha/2 \) in each tail.
4. Define the rejection region(s) based on the critical value(s). For instance, in a right-tailed test, the rejection region is all values greater than the critical value; in a two-tailed test, it includes values less than the lower critical value and greater than the upper critical value.
5. Use the critical value(s) and rejection region(s) to decide whether to reject or fail to reject the null hypothesis once the test statistic is calculated.