Find the rejection region for the specified hypothesis test.
-Consider a test of $\mathrm { H } _ { 0 } : \mu = 6$. For the following case, give the rejection region for the test in terms of the $z$-statistic: $\mathrm { H } _ { \mathrm { a } } : \mu \neq 6 , \alpha = 0.10$
A) $z 1.28$
B) $| z | 1.28$
C) $| z | 1.645$
D) $z 1.645$

Question

Find the rejection region for the specified hypothesis test.
-Consider a test of $\mathrm { H } _ { 0 } : \mu = 6$. For the following case, give the rejection region for the test in terms of the $z$-statistic: $\mathrm { H } _ { \mathrm { a } } : \mu \neq 6 , \alpha = 0.10$
A) $z > 1.28$
B) $| z | > 1.28$
C) $| z | > 1.645$
D) $z > 1.645$

Quizplus · Accepted Answer

For a two-tailed test with $\alpha = 0.10$, the rejection region is $|z| > 1.645$, as it corresponds to the critical values for the 5% in each tail.

Find the Rejection Region for the Specified Hypothesis Test H0:μ=6\mathrm { H } _ { 0 } : \mu = 6H0​:μ=6

Find the Rejection Region for the Specified Hypothesis Test $\mathrm { H } _ { 0 } : \mu = 6$