Question

In: Statistics and Probability

2.3.10 In Example 1.1, we looked at a study to investigate whether dolphins could communicate. In...

2.3.10 In Example 1.1, we looked at a study to investigate whether dolphins could communicate. In doing so, we tested whether Buzz, one of the dolphins, could push the correct button more than 50% of the time in the long run.

a. Describe what a Type I error would be in this study.

b. Describe what a Type II error would be in this study

Solutions

Expert Solution

We know that the type I error occurs when we reject the null hypothesis when it is true and type II error occurs when we do not reject the null hypothesis when it is not true.

a. Describe what a Type I error would be in this study.

The Type I error for this study occurs when we reject the null hypothesis and conclude that Buzz could push the correct button more than 50% of the time, but actually Buzz push correct button less than or equal to 50% of the time.

b. Describe what a Type II error would be in this study

The Type II error for this study occurs when we do not reject the null hypothesis and conclude that Buzz could push the correct button less than or equal to 50% of the time, but actually Buzz push correct button more than 50% of the time.


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