Q. 10 - The Practice of Statistics for AP

Question

A Type I error would occur if we conclude that

(a) HCC wiring caused cancer when it actually didn't.

(b) HCC wiring didn't cause cancer when it actually did.

(c) there is no association between the type of wiring and the form of cancer when there actually is an association.

(d) there is an association between the type of wiring and the form of cancer when there actually is no association.

(e) the type of wiring and the form of cancer have a positive correlation when they actually don't.

Step-by-Step Solution

Answer

(d) there is an association between the type of wiring and the form of cancer when there actually is no association.

Step 1: Given Information

Need to find A Type I error would occur 

Step 2: Explanation

$H_0$ : There is no association between the variables

$H_a$ : There is an association between the variables

Type I error: Reject the null hypothesis $H_0$ when $H_0$ is true.

Thus if we made a Type I error, then we rejected the null hypothesis $H_0$ and thus we concluded that there is an association between the variables, while there was no association between the variables.

This means that answer (d) is correct.