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Chapter 7: Q4E (page 397)

What is the difference between Type I and Type II errors in hypothesis testing? How do 伪 and 尾 relate to Type I and Type II errors?

Short Answer

Expert verified

Type I error is the rejection of the true null hypothesis, while Type II error occurs when one fails to reject the false null hypothesis. The value of Type I error is predefined and thus can be controlled, whereas Type II error can not be controlled.

Step by step solution

01

Given Information

In a hypothesis testing problem taking the right decision about the null hypothesis is very important. Otherwise, it may lead to the errors known as Type I and Type II errors.

02

Stating the difference between the two types of errors

Type I error is the rejection of the true null hypothesis, while Type II error occurs when one fails to reject the false null hypothesis. The value of Type I error is predefined and thus can be controlled, whereas Type II error can not be controlled.

A Type I error is denoted by 伪 , and a Type II error 尾 . A Type I error is also known as the size of the test.

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