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Select the statement that correctly describes a Type Il error.

O A Type Il error occurs when the null hypothesis is rejected when it is actually true.
O A Type Il error occurs when the null hypothesis is accepted when it is actually true.
O A Type Il error occurs when the null hypothesis is accepted when it is actually false.
O A Type Il error occurs when the null hypothesis is rejected when it is actually false.

1 Answer

3 votes

Answer: Choice C

Type Il error occurs when the null hypothesis is accepted when it is actually false.

In other words, it's when we reject the alternative hypothesis when it's actually true. In contrast, a type I error happens when we reject the null and it turns out the null was true all along.

Here's a table to keep things organized


\begin{array} \cline{1-3} & \text{Accept null} & \text{Reject null}\\\cline{1-3}\text{Null was true} & \text{Correct decision} & \text{Type I error}\\\cline{1-3}\text{Null was false} & \text{Type II error} & \text{Correct decision} \\\cline{1-3}\end{array}

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