Asked by Jessica Strohmenger on May 06, 2024
Verified
The probability of committing a Type I error when the null hypothesis is true as an equality is
A) the confidence level.
B) β.
C) greater than 1.
D) the level of significance.
Type I Error
Occurs when a true null hypothesis is incorrectly rejected, often referred to as a "false positive."
Level of Significance
A statistical measure that indicates how likely it is that the results observed in your data occurred by chance.
Null Hypothesis
The null hypothesis is a default hypothesis that there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.
- Achieve insight into the critical role and meaning of the significance level (α) in hypothesis examination.
Verified Answer
CG
Clarissa GuzmanMay 10, 2024
Final Answer :
D
Explanation :
The probability of committing a Type I error when the null hypothesis is true as an equality is the level of significance, also denoted as alpha. This is the probability of rejecting the null hypothesis when it is actually true, and is typically set at a value such as 0.05 or 0.01 depending on the desired level of confidence. Beta (option B) is the probability of committing a Type II error, which is the probability of failing to reject the null hypothesis when it is actually false. Option A is not correct because the confidence level reflects the probability of correctly rejecting the null hypothesis, not the probability of making a Type I error. Option C is not correct because probabilities cannot be greater than 1.
Learning Objectives
- Achieve insight into the critical role and meaning of the significance level (α) in hypothesis examination.