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What are the conditions in which Type-I error occurs ?

  • A.The null hypothesis get accepted even if it is false
  • B.The null hypothesis get rejected even if it is true
  • C.Both the null hypothesis as well as alternative hypothesis are rejected
  • D.Both the null hypothesis as well as alternative hypotheses are accepted

Answer: B

A Type-I error occurs when the null hypothesis gets rejected even if it is true.

The probability of a Type-I error is the level of significance (alpha), commonly 0.05: the risk of concluding there is an effect when there is none.

Accepting a false null hypothesis is a Type-II error (beta). The null and alternative hypotheses are complementary, so one is accepted whenever the other is rejected; both cannot be rejected or accepted together.

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