Asked by Paola Dela Rosa on Sep 30, 2024
Which of the following statements is not true?
A) The probability of making a Type II error increases as the probability of making a Type I error decreases.
B) The probability of making a Type II error and the level of significance are the same.
C) The power of the test decreases as the level of significance decreases.
D) All of these choices are true.
Type II Error
A Type II Error occurs when a statistical test fails to reject a false null hypothesis, falsely indicating no effect or difference when one exists.
Level of Significance
The probability threshold below which the null hypothesis is rejected in hypothesis testing.
Probability
A mathematical measurement of the likelihood of an event occurring, expressed as a number between 0 and 1.
- Recognize the symbols (α and β) corresponding to the probabilities of Type I and Type II errors, respectively.
- Explore the link between the degree of significance and error categories.
- Understand the consequences of adjusting the significance level on the likelihood of making Type I and Type II errors.
Learning Objectives
- Recognize the symbols (α and β) corresponding to the probabilities of Type I and Type II errors, respectively.
- Explore the link between the degree of significance and error categories.
- Understand the consequences of adjusting the significance level on the likelihood of making Type I and Type II errors.