Question

Which of the following describes a Type II error in the context of this study?

a. Finding convincing evidence that the true means are different for males and females when in reality the true means are the same

b. Finding convincing evidence that the true means are different for males and females when in reality the true means are different

c. Not finding convincing evidence that the true means are different for males and females when in reality the true means are the same

d. Not finding convincing evidence that the true means are different for males and females when in reality the true means are different

e. Not finding convincing evidence that the true means are different for males and females when in reality there is convincing evidence that the true means are different.

Short answer

The required correct option is$\left(d\right)$

Step-by-step solution

Explanation

A type I error occurs when we reject a null hypothesis when it is true. And a Type II error occurs when we fail to reject the null hypothesis when it is false.

Conclusion

Thus, if we fail to reject the null hypothesis, we have a Type Il error. As a result, we conclude that the option $\left(d\right)$has the same meaning as the Type II error definition. As a result, the option$\left(d\right)$is the correct choice.