Question

In: Statistics and Probability

How many ways stated above may reduce Type II error? Increasing sample size Increasing alpha error...

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

Solutions

Expert Solution

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


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