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The probability of making a Type I error when the null hypothesis is true as an equality is called the level of significance Group of answer choicesFalseTrue

Question

The probability of making a Type I error when the null hypothesis is true as an equality is called the level of significance

Group of answer choices

  • False
  • True
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Solution

Understanding the Statement

  1. Definition of Type I Error: A Type I error occurs when the null hypothesis is rejected when it is actually true. This is also known as a "false positive."

  2. Level of Significance: The level of significance (denoted as α\alpha) is the probability of making a Type I error. It is a threshold set by the researcher (often 0.05 or 0.01) for determining whether to reject the null hypothesis.

Evaluating the Statement

  • The statement claims that the probability of making a Type I error when the null hypothesis is true is called the level of significance. This is correct because by definition, the level of significance directly corresponds to the rate of Type I error.

Conclusion

Given the definitions and explanation provided, the correct answer to the statement is True. The level of significance is indeed the probability of making a Type I error when the null hypothesis is true.

This problem has been solved

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