Identify the Type I error or Type II error as indicated.
-In 1990, the average math SAT score for students at one school was 500. Five years later, a teacher wants to perform a hypothesis test to determine whether the average SAT score of students at the school has changed from the 1990 mean of 500. The hypotheses are: $$\begin{array} { l }
\mathrm { H } _ { 0 } : \mu = 500 \
\mathrm { H } _ { \mathrm { a } } : \mu \neq 500
\end{array}$$
Identify the Type II error.
A)Reject the claim that the average math SAT score is 500 when in fact it is not 500.
B)Fail to reject the claim that the average math SAT score is 500 when in fact it is not 500.
C)Fail to reject the claim that the average math SAT score is 500 when in fact it is 500.
D)Reject the claim that the average math SAT score is 500 when in fact it is 500.

Question

Identify the Type I error or Type II error as indicated.
-In 1990, the average math SAT score for students at one school was 500. Five years later, a teacher wants to perform a hypothesis test to determine whether the average SAT score of students at the school has changed from the 1990 mean of 500. The hypotheses are: $$\begin{array} { l } 
\mathrm { H } _ { 0 } : \mu = 500 \
\mathrm { H } _ { \mathrm { a } } : \mu \neq 500
\end{array}$$
Identify the Type II error.
A)Reject the claim that the average math SAT score is 500 when in fact it is not 500.
B)Fail to reject the claim that the average math SAT score is 500 when in fact it is not 500.
C)Fail to reject the claim that the average math SAT score is 500 when in fact it is 500.
D)Reject the claim that the average math SAT score is 500 when in fact it is 500.

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis ($H_0$) is not rejected when it is false. In this context, it means failing to detect a change in the average SAT score when there actually is a change.

Identify the Type I Error or Type II Error as Indicated