Find the rejection region for the specified hypothesis test.
-Consider a test of $\mathrm { H } _ { 0 } : \mu = 9$ . For the following case, give the rejection region for the test in terms of the $z$ -statistic: $\mathrm { H } _ { \mathrm { a } } : \mu < 9 , \alpha = 0.01$

Question

Find the rejection region for the specified hypothesis test.
-Consider a test of $\mathrm { H } _ { 0 } : \mu = 9$. For the following case, give the rejection region for the test in terms of the $z$-statistic: $\mathrm { H } _ { \mathrm { a } } : \mu < 9 , \alpha = 0.01$
A) $z < - 2.575$
B) $\mathrm { z } < - 2.33$
C) $z < 2.575$
D) $z > - 2.33$

Quizplus · Accepted Answer

For a left-tailed test with $\alpha = 0.01$, the critical value for $z$ is approximately -2.33. Thus, the rejection region is $z < -2.33$.

Find the Rejection Region for the Specified Hypothesis Test H0:μ=9\mathrm { H } _ { 0 } : \mu = 9H0​:μ=9

Find the Rejection Region for the Specified Hypothesis Test $\mathrm { H } _ { 0 } : \mu = 9$