What is the relationship between the alpha level,the size of the critical region,and the risk of a Type I error?
A)As the alpha level increases, the size of the critical region increases and the risk of a Type I error increases.
B)As the alpha level increases, the size of the critical region increases and the risk of a Type I error decreases.
C)As the alpha level increases, the size of the critical region decreases and the risk of a Type I error increases.
D)As the alpha level increases, the size of the critical region decreases and the risk of a Type I error decreases.

Question

What is the relationship between the alpha level,the size of the critical region,and the risk of a Type I error?​
A)​As the alpha level increases, the size of the critical region increases and the risk of a Type I error increases.
B)​As the alpha level increases, the size of the critical region increases and the risk of a Type I error decreases.
C)​As the alpha level increases, the size of the critical region decreases and the risk of a Type I error increases.
D)​As the alpha level increases, the size of the critical region decreases and the risk of a Type I error decreases.

Quizplus · Accepted Answer

The alpha level determines the probability of rejecting the null hypothesis when it is actually true. The critical region is the area in the sampling distribution where the null hypothesis is rejected. As the alpha level increases, the critical region becomes larger, making it easier to reject the null hypothesis. However, this also increases the risk of a Type I error, or falsely rejecting the null hypothesis when it is actually true. Therefore, increasing the alpha level increases the size of the critical region and the risk of a Type I error.

What Is the Relationship Between the Alpha Level,the Size of the Critical