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) $| z | 2.33$
B) $z 2.33$
C) $z 1.28$
D) $| z | 2.575$

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) $| z | > 2.33$
B) $z > 2.33$
C) $z > 1.28$
D) $| z | > 2.575$

Quizplus · Accepted Answer

For a right-tailed test with $\alpha = 0.01$, the critical value for $z$ is 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 $\mathrm { H } _ { 0 } : \mu = 9$