Question

# Which one is the correct statement? Choose all applied. A. We can increase the power of...

Which one is the correct statement? Choose all applied.

A. We can increase the power of a test by decreasing type 2 error.

B. power of a test = 1- type 2 error.

C. We can increase the power of a test by increasing type 1 error.

D. We can increase the power of a test by increasing the size of random sample.

We know that,

Power = P(type I error)

Power = 1 - P(type II error)

Therefore,

A. We can increase the power of a test by decreasing type 2 error.

B. power of a test = 1- type 2 error.

C. We can increase the power of a test by increasing type 1 error.

D. We can increase the power of a test by increasing the size of random sample.

All the option are correct.

Since, type II error is power, by decreasing the type 2 error we can increase power

B. Is also correct

C. Is also correct, since power is directly proportional to type I error, option C. is also correct.

D. It is also correct, since the power can be increased by increasing the sample size