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  • When is two tailed test used

    • One-tailed test example

  • Two-tailed test formula
  • Difference between one-tailed and two-tailed test
  • When is a one-tailed test used
  • One-tailed vs two-tailed test examples

    • Difference between one-tailed and two-tailed test...

    Difference Between One-Tailed and Two-Tailed Tests

    One and Two-Tailed Tests are ways to identify the relationship between the statistical variables.

    For checking the relationship between variables in a single direction (Left or Right direction), we use a one-tailed test. A two-tailed test is used to check whether the relations between variables are in any direction or not.

    One-Tailed Test

    A one-tailed test is based on a uni-directional hypothesis where the area of rejection is on only one side of the sampling distribution.

    It determines whether a particular population parameter is larger or smaller than the predefined parameter. It uses one single critical value to test the data.

    Difference Between One-Tailed and Two-Tailed Tests

    Null Hypothesis (H0​): where [Tex]\theta[/Tex] represents a parameter (e.g., population mean) and θ0​ is a specific value.

    Alternative Hypothesis (H1​):

    • For a right-tailed test: [Tex]H_1: \theta > \theta_0 [/Tex]
    • For a left-tailed test: [Tex]H_1: \theta < \theta_0 [/Tex]

    Test Statistic: D

      what is a two tailed test used in hypothesis testing