Asked by Lesley Horcasitas on May 08, 2024

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​When the null hypothesis is not rejected, it is​

A) possible a Type I error has occurred.
B) possible a Type II error has occurred.
C) not possible a Type II error has occurred.
D) ​possible either a Type I or a Type II error has occurred.

Type II Error

A Type II Error occurs in hypothesis testing when a false null hypothesis is not rejected, meaning a real effect or difference was missed.

Null Hypothesis

A statement used in statistics that suggests there is no significant difference or effect, serving as the default assumption to be tested.

Type I Error

The error of rejecting the null hypothesis when it is true, often referred to as a "false positive."

  • Identify the possibility of Type I and Type II errors in hypothesis testing.
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RM
Rosmah MoffatMay 13, 2024
Final Answer :
B
Explanation :
When the null hypothesis is not rejected, there is a possibility that a Type II error has occurred. A Type II error occurs when the null hypothesis is actually false, but we fail to reject it based on our sample data. Therefore, we accept the null hypothesis (which is actually false) and make an incorrect conclusion.