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Answer: P(reject H₀ | H₀ is true) = 0.01
The significance level (α) represents the probability of committing a Type I error, which is rejecting the null hypothesis (H₀) when it is actually true. Therefore, at the 1% significance level, P(reject H₀ | H₀ is true) = 0.01. **Key Concepts:** - **Type I Error**: Rejecting H₀ when it is true (false positive) - **Type II Error**: Failing to reject H₀ when it is false (false negative) - **Significance level (α)**: Probability of Type I error - **Power (1-β)**: Probability of correctly rejecting H₀ when it is false Option A represents the power of the test (1 - Type II error rate). Option C represents the probability of Type II error (β). Option D represents the confidence level (1 - α).
Author: Nikitesh Somanthe
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A manager conducts a hypothesis test at the 1% significance level. What does this mean?
A
P(reject H₀ | H₀ is false) = 0.01
B
P(reject H₀ | H₀ is true) = 0.01
C
P(not reject H₀ | H₀ is false) = 0.01
D
P(not reject H₀ | H₀ is true) = 0.01
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