Answer to Question #329434 in Statistics and Probability for erika miguel

Question

 Directions: Read the given situation, then state the possible consequence of an error made.

A quality control expert wants to test the null hypothesis that an imported solar panel is an effective source of energy.

2. Identify the Type II error in this context? What would be the possible consequence of committing the Type II error in this context?

 

a. They do not conclude that the solar panel is effective when it is not actually effective.

b. They do not conclude that the solar panel is effective when it is actually effective.

c. They conclude that the solar panel is effective when it is actually effective.

d. They conclude that the solar panel is effective when it is not actually effective.

 

Answer 1

Type II error: Failing to reject a false null hypothesis

If $H_{0}$ ​ is false, then $H_{a}$ ​ is true, and the new panel is more effective. So a Type II error would occur if they don't conclude it is more effective.

In this setting, a Type II error would be: d