In: Statistics and Probability
How many ways stated above may reduce Type II error?
Increasing sample size
Increasing alpha error
Increasing critical region size
Decreasing critical region size
A. 4
B. 1
C. 0
D. 3
E. 2
1) Sample size (n).
The greater the sample size, the greater the power of the test.
power = 1 - type II error, power increases the type II error decreases.
So greater sample size the lesser the type II error.
2) Alpha error is the type I error
Type I & Type II error are correlated.
If one increases other will decreases.
So if we increase alpha error then type II error will get decreased.
3)
Increasing critical region size:-
the region of rejection gets bigger. As a result, you are more likely to reject the null hypothesis.
This means you are more likely to reject the null hypothesis when it is false, so type I error increases & so you are less likely to make a Type II error.
so increasing critical region size type II error will get reduced.
4)
Decreasing critical region size:
the region of rejection gets smaller. As a result, you are less likely to reject the null hypothesis.
This means you are less likely to reject the null hypothesis when it is false, so type I error decreases & so you are more likely to make a Type II error.
so increasing critical region size type II error will get increased.
Type II error reduces when :
Increasing sample size
Increasing alpha error
Increasing critical region size
Answer: D. 3