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The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 10: Q. 70. (page 672)

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

Expert verified

The required correct option is $(d)$

Step by step solution

01

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.

02

Conclusion

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

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