Question

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

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.

Homework Answers

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

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