Confidence levels and critical values

Confidence levels and critical values

Lessons

  • 1.
    Confidence Level: 1α1-\alpha

    . Introduction to confidence levels and critical values

    Common Confidence levels:
    \cdot 0.900.90 Zα2=1.645 Z_\frac{\alpha}{2}=1.645
    \cdot 0.950.95 Zα2=1.96 Z_\frac{\alpha}{2}=1.96
    \cdot 0.990.99 Zα2=2.575 Z_\frac{\alpha}{2}=2.575
    Critical value is the z-score relating to a confidence level

  • 2.
    Finding the Critical Value
    Find the resulting critical values from the following confidence levels:
    a)
    A confidence level of 0.50

    b)
    A confidence level of 0.90

    c)
    A confidence level of 0.95

    d)
    A confidence level of 0.99


  • 3.
    What would be the value of Zα2Z_\frac{\alpha}{2} for a confidence level of 0.98?

  • 4.
    Theoretical interpretation of the confidence level and critical value
    What would be the resulting critical value for
    a)
    A confidence level of 1?

    b)
    A confidence level of 0?


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