Asked by stephanie santacruz on May 14, 2024
Verified
For a given sample size,the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.
Type II Error
The error that occurs when failing to reject a false null hypothesis, also known as a false negative.
Type I Error
occurs when a true null hypothesis is incorrectly rejected in a statistical test.
- Understand the concepts of Type I and Type II errors and how changing levels of significance (α) and sample sizes (n) affect these errors.
Verified Answer
KB
Katelyn BrummettMay 19, 2024
Final Answer :
True
Explanation :
The probability of committing a Type I error (rejecting a true null hypothesis) and the probability of committing a Type II error (failing to reject a false null hypothesis) are inversely related. As the probability of committing a Type I error decreases, the probability of committing a Type II error increases because the null hypothesis is less likely to be rejected even when it is false. This tradeoff between Type I and Type II errors is known as the "power" of a statistical test, and it is important to balance these two types of errors based on the goals and context of the study.
Learning Objectives
- Understand the concepts of Type I and Type II errors and how changing levels of significance (α) and sample sizes (n) affect these errors.