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Rejecting the null hypothesis when it is true is referred to as :

  • A.Type II error
  • B.Type 0 error
  • C.Type I error
  • D.Type III error

Answer: C

Rejecting a true null hypothesis is a Type I error.

A Type I error is a false rejection: the null hypothesis is true but the test rejects it. Its probability is the significance level \(\alpha\) chosen for the test, such as 5 per cent.

A Type II error is the opposite mistake, accepting (failing to reject) a null hypothesis that is false; its probability is \(\beta\), and \(1 - \beta\) is the power of the test. 'Type 0' is not a standard term, and 'Type III' is an informal name for answering the wrong question, not part of the classical framework.

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