Question

18 multiple choice 1 point select the most appropriate response. in hypothesis testing, a type ii error occurs when: the null hypothesis is rejected when the alternative hypothesis is true. the null hypothesis is rejected when the null hypothesis is true. the null hypothesis is not rejected when the alternative hypothesis is true. the null hypothesis is not rejected when the null hypothesis is true

Explanation:

To determine the correct answer, we recall the definitions of Type I and Type II errors in hypothesis testing. A Type II error is defined as failing to reject the null hypothesis when the alternative hypothesis is actually true. Let's analyze each option:

• The first option: Rejecting the null when the alternative is true is a correct decision, not an error.
• The second option: Rejecting the null when it's true is a Type I error (false positive).
• The third option: Not rejecting the null when the alternative is true matches the definition of a Type II error (false negative).
• The fourth option: Not rejecting the null when it's true is a correct decision (true negative).

Answer:

C. the null hypothesis is not rejected when the alternative hypothesis is true.