Question

What type of error occurs if you fail to reject (aka "accept") H₀ when, in fact, it is not true?

Question 1 options:

For a given sample size in hypothesis testing,

Question 2 options:

	Type II error will not be effected by Type I error.
	the smaller the Type I error, the larger the Type II error will be.
	the smaller the Type I error, the smaller the Type II error will be.
	the sum of Type I and Type II errors must equal to 1.

Answer 1

Answer 1

when we fail to reject the null hypothesis, when in fact it is not true, then this is called as type II error. Type error is defined as failing to reject the false or incorrect null hypothesis.

So, answer is type II error

Answer 2

We know that type I and type II error for the given sample size in hypothesis testing varies inversely, i.e. when type I error decreases, type II error increases or when type I error increases, type II error decreases.

So, option B is correct answer

the smaller the Type I error, the larger the Type II error will be.