Question

You wish to test if there is any relationship between marital status and number of children in the household of students in MTH 245 (Statistics I class). Let assume that our null hypothesis H0 is true.

H0:μ= there is any relationship between marital status and number of children among students in MTH 245 (Statistics I class)

You decide to reject H0.

a) Are you making a Type I error? ( Yes or No)

b) Are you making a Type II error? (Yes or No)

Answer 1

(a) Yes, We are making a Type I error.

(b) No, We are not making a Type II error.

Explanation:

​​​​

	H0 is true	H1 is true
Donot reject H0	Correct Decesion	Type II Error
Reject H0	Type I Error	Correct Decesion

If we accept H1 when H0 is true, the error we commit is called type I error.

If we dont reject H0 when H1 is true, the error we commit is called to be type II error.

Here, we decide to reject H0. So, H1 must be true. But we have assumed that our null hypothesis H0 is true. So this is the case in which we are accepting H1 when H0 is true. So, we are commiting Type I error.