Rejection Region Calculator

This Rejection Region Calculator allows users to determine critical values and the rejection region for hypothesis tests based on specified significance levels, test types, and sample sizes.

Use Our Rejection Region Calculator

Step-by-Step Guide to Using the Rejection Region Calculator

Input Preparation

Before using the calculator, ensure that you have gathered all the necessary information required for the input fields. This includes the significance level, the type of test, and the sample size.

1. Determine the Significance Level (α):

  • This is a number between 0 and 1 that represents the probability of rejecting a true null hypothesis. Common values are 0.05 or 0.01.
  • The input field for significance level requires a value between 0.001 and 0.999. Enter this value in the provided space.

2. Select the Type of Test:

  • You need to decide whether your test is a two-tailed, left-tailed, or right-tailed test.
  • Choose the appropriate option from the dropdown menu.

3. Enter the Sample Size (n):

  • Input the sample size, which should be an integer value. The minimum value allowed is 2.
  • Make sure the sample size reflects the data you have or sample you are testing.

Understanding Calculator Output

Once all required inputs are entered, the calculator will provide the following results:

1. Degrees of Freedom:

  • This value is calculated as the sample size minus 1. It is important for determining the critical value from the t-distribution.

2. Left Critical Value:

  • If you selected a left-tailed or two-tailed test, this value will be calculated. It is the point beyond which values are considered extreme for the left tail.

3. Right Critical Value:

  • If the test is right-tailed or two-tailed, this value represents the critical point beyond which right-tail values are considered extreme.

4. Rejection Region:

  • The rejection region is described in the context of t-distribution values. It specifies where the test statistic falls that leads to rejection of the null hypothesis.
  • For a two-tailed test, it will be two regions based on the left and right critical values. For a one-tailed test, it will be either below the left or above the right critical value.

By following these steps carefully and understanding the results provided, you can effectively determine the rejection region for your statistical test using the Rejection Region Calculator.