Asked by Phoenix Friday on May 01, 2024
Verified
Changing alpha (α) from .05 to .01 ______ the probability of making a type I error and ______ the probability of making a type II error.
A) increases; increases
B) increases; decreases
C) decreases; increases
D) decreases; decreases
Type I Error
The error of rejecting a true null hypothesis, also known as a "false positive" error.
Type II Error
Failing to detect an effect or difference that exists because the null hypothesis was incorrectly accepted.
α
Alpha (α) is a threshold value used in hypothesis testing to determine the significance level at which the null hypothesis can be rejected.
- Recognize techniques to lower the risks of Type I and Type II errors.
Verified Answer
ZK
Zybrea KnightMay 03, 2024
Final Answer :
C
Explanation :
Decreasing alpha from .05 to .01 decreases the probability of making a type I error (rejecting the null hypothesis when it is actually true) and increases the probability of making a type II error (failing to reject the null hypothesis when it is actually false). This is because as alpha gets smaller, the threshold for rejecting the null hypothesis becomes higher, making it less likely to reject the null hypothesis when it is actually true. However, this also means that it is more difficult to detect a true alternative hypothesis, which increases the risk of failing to reject the null hypothesis when it is actually false.
Learning Objectives
- Recognize techniques to lower the risks of Type I and Type II errors.
Related questions
Which of These Strategies Is MOST Commonly Used to Decrease ...
Which of These Strategies Is MOST Commonly Used to Decrease ...
The Main Concern with Lowering the Probability of Making a ...
The Only Way to Completely Eliminate the Possibility of Type ...
Reducing the Likelihood of Making a Type II Error Involves ...