Question

Type II error in testing of hypothesis refers to

• A. rejecting $H_0$ when it is true
• B. accepting $H_0$ when it is false
• C. probability of rejecting $H_0$ when it is true
• D. probability of accepting $H_0$ when it is false

Hint:

To remember: Type I error is "rejecting a true $H_0$," and Type II error is "accepting a false $H_0$."

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
In hypothesis testing, we make decisions about a null hypothesis $H_0$ based on sample data, which can lead to two types of errors due to sampling fluctuations.

Step 2: Detailed Explanation:
Let us define the types of decisions and associated errors:
- Type I Error: Occurs when we reject the null hypothesis $H_0$ when it is actually true. The probability of committing this error is denoted by $\alpha$ (level of significance).
- Type II Error: Occurs when we fail to reject (or accept) the null hypothesis $H_0$ when it is actually false. The probability of committing this error is denoted by $\beta$.
Therefore, the Type II error itself refers to the action of accepting $H_0$ when it is false.

Step 3: Final Answer
The correct option is (B).