Which statement accurately describes a Type 2 error?

Which statement accurately describes a Type 2 error?

• A. Rejecting the null hypothesis when it is false
• B. Failing to reject the null hypothesis when it is false
• C. Both A and C
• D. Rejecting the null hypothesis when it is true

Answer: (B)

A Type 2 error occurs when a researcher fails to reject the null hypothesis despite the null hypothesis being false. This means that the evidence or data collected suggests that there is an effect or difference that actually exists, but the statistical test does not indicate that conclusion, leading the researcher to incorrectly accept the null hypothesis. This type of error is particularly problematic because it suggests that potentially important findings or relationships are overlooked, creating misleading interpretations in research. In contrast, rejecting the null hypothesis when it is true constitutes a Type 1 error, which is distinct from Type 2 errors. Understanding the differences is crucial for interpreting statistical results accurately, as well as for selecting the appropriate methodology and sample sizes in research studies to minimize these errors.

A Type 2 error occurs when a researcher fails to reject the null hypothesis despite the null hypothesis being false. This means that the evidence or data collected suggests that there is an effect or difference that actually exists, but the statistical test does not indicate that conclusion, leading the researcher to incorrectly accept the null hypothesis. This type of error is particularly problematic because it suggests that potentially important findings or relationships are overlooked, creating misleading interpretations in research.

In contrast, rejecting the null hypothesis when it is true constitutes a Type 1 error, which is distinct from Type 2 errors. Understanding the differences is crucial for interpreting statistical results accurately, as well as for selecting the appropriate methodology and sample sizes in research studies to minimize these errors.