Asked by Chase Winschel on Sep 30, 2024
Verified
For a given level of significance,if the sample size is increased,the probability of committing a Type I error will decrease.
Type I Error
The mistake of wrongly rejecting a true null hypothesis.
Level Of Significance
The threshold chosen for determining whether a statistical result obtained is deemed significant, typically represented as a probability value (p-value).
Sample Size
The number of observations or data points collected for the purpose of statistical analysis.
- Understand the relationship between the level of significance, sample size, and the probability of committing Type I and Type II errors.
Verified Answer
AC
Amber Cottonabout 2 hours ago
Final Answer :
False
Explanation :
The probability of committing a Type I error is determined by the chosen level of significance (alpha), not by the sample size. Increasing the sample size can affect the power of the test and the probability of committing a Type II error, but it does not change the probability of a Type I error.
Learning Objectives
- Understand the relationship between the level of significance, sample size, and the probability of committing Type I and Type II errors.