When testing the hypothesis presented below, at a .05 level of significance with the t test, where is the rejection region?

$\begin{array}{l}
H_{0}: \mu=100 \
H_{1}: \mu \neq 100
\end{array}$

A) The upper tail
B) The lower tail
C) Both the upper and tails
D) Cannot be determined

Question

When testing the hypothesis presented below, at a .05 level of significance with the t test, where is the rejection region?

$\begin{array}{l}
H_{0}: \mu=100 \
H_{1}: \mu \neq 100
\end{array}$

A) The upper tail
B) The lower tail
C) Both the upper and tails
D) Cannot be determined

Quizplus · Accepted Answer

The null hypothesis is that the population mean is equal to 100. The alternative hypothesis is that the population mean is not equal to 100, indicating a two-tailed test. Therefore, the rejection region is located in both tails of the distribution, corresponding to extreme values that are unlikely to occur if the null hypothesis is true.

When Testing the Hypothesis Presented Below, at a H0:μ=100H1:μ≠100\begin{array}{l}H_{0}: \mu=100 \\H_{1}: \mu \neq 100\end{array}H0​:μ=100H1​:μ=100​

When Testing the Hypothesis Presented Below, at a $\begin{array}{l}H_{0}: \mu=100 \\H_{1}: \mu \neq 100\end{array}$