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2. What is the size of a test? What is the power of a test?

2. What is the size of a test? What is the power of a test?

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Answer #1

Solution:

What is the size of a test?

The size of the test is the probability of committing type I error. i.e. The probability of rejecting the null hypothesis when it is true.

In testing of hypothesis theory , there are two types of errors:

Type I error: Rejecting the null hypothesis when it is true.

Type II error : Fail to reject the null hypothesis when it is False

The size of the test is also known as "Significance level".

It is denoted by a Greek letter .

What is the power of a test?

"Rejecting the Null hypothesis when it is False" is the correct decision.

The power of test is the probability of "Rejecting the Null hypothesis when it is False"

The power of the test is given by

power = 1 -P(Fail to reject the null hypothesis when it is False)

= 1 - P(Type II error)

= 1 -

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