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Six_Sigma

ICGB · Question #150

It is a Type I error if we reject the Null Hypothesis when it is actually true.

The correct answer is A. True. A (True) is correct because a Type I error is defined exactly as rejecting a null hypothesis that is actually true - also called a "false positive." You conclude there is an effect or difference when, in reality, none exists. B (False) is incorrect because it would imply the…

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Question

It is a Type I error if we reject the Null Hypothesis when it is actually true.

Options

  • ATrue
  • BFalse

How the community answered

(47 responses)
  • A
    74% (35)
  • B
    26% (12)

Explanation

A (True) is correct because a Type I error is defined exactly as rejecting a null hypothesis that is actually true - also called a "false positive." You conclude there is an effect or difference when, in reality, none exists.

B (False) is incorrect because it would imply the opposite scenario describes a Type I error, when in fact rejecting a true null hypothesis is the textbook definition, not a variation of it.

Memory tip: Think of a Type I error as a "false alarm" - like a smoke detector going off when there's no fire. You acted (rejected H₀) when you shouldn't have (H₀ was true). The significance level α directly controls the probability of making this error.

Topics

#Type I error#null hypothesis#alpha risk#hypothesis testing

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