Question

If the conclusion of a test is " reject H0" with 0.05 alpha, then which one is the correct statement? (choose all that apply)

	a.	Type1 = 0.05 and Type2 = 0
	b.	Type1 = 0 and Type2 = 0
	c.	Type1 = 0 and Type2 = 0.05
	d.	Type1 = 0 and Type2 = unknown amounts

If the conclusion of a test is " do not reject H0" with 0.05 alpha, then which one is the correct statement?

	a.	Type 1 = Unknown amounts and Type 2 = Unknown amounts
	b.	Type 1 = 0.05 and Type 2 = 0
	c.	Type 1 = 0.05 and Type 2 = Unknown amounts
	d.	Type 1 = 0 and Type 2 = Unknown amounts

Which one is the correct statement? Choose all applied.

	a.	We can increase the power of a test by increasing the size of random sample.
	b.	We can increase the power of a test by decreasing type 2 error.
	c.	power of a test = 1- type 2 error.
	d.	We can increase the power of a test by increasing type 1 error.

Answer 1

1. If the conclusion of a test is " reject H0" with 0.05 alpha, then

Ans: Type1 = 0.05 and Type2 = 0

2. If the conclusion of a test is " do not reject H0" with 0.05 alpha, :Type 1 = 0.05 and Type 2 = Unknown amounts

a) We can increase the power of a test by increasing the size of random sample. : True

Explanation: increasing sample size means more likely to reject the null hypothesis when it is, in fact, false .Thus increase power.

b) We can increase the power of a test by decreasing type 2 error. : TRUE

Explanation: The type II error has an inverse relationship with the power of a statistical test.

c) power of a test = 1- type 2 error. : TRUE

d) We can increase the power of a test by increasing type 1 error. TRUE