Which of the following represents the probability of a Type II error?​Group of answer choices​µ​σ​α​β

Break Down the Problem

1. Identify the definitions of each term provided in the options.
2. Understand the context of Type II error in hypothesis testing.

Relevant Concepts

1. Type I Error (α): The probability of rejecting the null hypothesis when it is actually true.
2. Type II Error (β): The probability of failing to reject the null hypothesis when it is false.
3. µ (Mu): Represents the population mean.
4. σ (Sigma): Represents the population standard deviation.

Analysis and Detail

• A Type II error occurs when the null hypothesis is not rejected despite being false, effectively missing a real effect. Thus, the probability associated with this is denoted by β.

Verify and Summarize

• Therefore, in the given options:
  • µ is not related to errors in hypothesis testing.
  • σ is also not related to errors in hypothesis testing.
  • α represents a Type I error.
  • β represents a Type II error.

Final Answer

The probability of a Type II error is represented by β.