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
Solution
Understanding the Statement
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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."
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Level of Significance: The level of significance (denoted as ) 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.
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