Given $\mathrm { H } _ { 0 } : \mu \leq 25 \text { and } \mathrm { H } _ { \mathrm { a } } : \mu 25 \text {, }$ determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
A)right-tailed
B)left-tailed
C)two-tailed

Question

Given $\mathrm { H } _ { 0 } : \mu \leq 25 \text { and } \mathrm { H } _ { \mathrm { a } } : \mu > 25 \text {, }$ determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
A)right-tailed
B)left-tailed
C)two-tailed

Quizplus · Accepted Answer

The alternative hypothesis ($H_a$) indicates the direction of the test. Since $H_a: \mu > 25$, it suggests that we are looking for values greater than 25, which means the test is right-tailed.

Given H0:μ≤25 and Ha:μ>25, \mathrm { H } _ { 0 } : \mu \leq 25 \text { and } \mathrm { H } _ { \mathrm { a } } : \mu > 25 \text {, }H0​:μ≤25 and Ha​:μ>25,

Given $\mathrm { H } _ { 0 } : \mu \leq 25 \text { and } \mathrm { H } _ { \mathrm { a } } : \mu > 25 \text {, }$