Identify the Type I error or Type II error as indicated.
-In 1990, the average math SAT score for students at one school was 483. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1990 mean of 483. The hypotheses are: $$\begin{array} { l }
\mathrm { H } _ { 0 } : \mu = 483 \
\mathrm { H } _ { a } : \mu \neq 483
\end{array}$$
Identify the Type I error.
A)Fail to reject the claim that the average math SAT score is 483 when in fact it is 483.
B)Reject the claim that the average math SAT score is 483 when in fact it is 483.
C)Reject the claim that the average math SAT score is 483 when in fact it is not 483.
D)Fail to reject the claim that the average math SAT score is 483 when in fact it is not 483.

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 483. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1990 mean of 483. The hypotheses are: $$\begin{array} { l } 
\mathrm { H } _ { 0 } : \mu = 483 \
\mathrm { H } _ { a } : \mu \neq 483
\end{array}$$
Identify the Type I error.
A)Fail to reject the claim that the average math SAT score is 483 when in fact it is 483.
B)Reject the claim that the average math SAT score is 483 when in fact it is 483.
C)Reject the claim that the average math SAT score is 483 when in fact it is not 483.
D)Fail to reject the claim that the average math SAT score is 483 when in fact it is not 483.

Quizplus · Accepted Answer

A Type I error occurs when the null hypothesis ($H_0$) is rejected when it is actually true. In this scenario, rejecting the claim that the average math SAT score is 483 when it is indeed 483 represents a Type I error.

Identify the Type I Error or Type II Error as Indicated