Consider a test of $\mathrm { H } _ { 0 } : \mu = 8$. For the following case, give the rejection region for the test in terms of the $z$-statistic: $\mathrm { H } _ { \mathrm { a } } : \mu 8 , \alpha = 0.10$
A) $z 1.28$
B) $| z | 1.645$
C) $| z | 1.28$
D) $z 1.96$

Question

Consider a test of $\mathrm { H } _ { 0 } : \mu = 8$. For the following case, give the rejection region for the test in terms of the $z$-statistic: $\mathrm { H } _ { \mathrm { a } } : \mu > 8 , \alpha = 0.10$
A) $z > 1.28$
B) $| z | > 1.645$
C) $| z | > 1.28$
D) $z > 1.96$

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.10$, the critical value from the z-table is 1.28. This means we reject $H_0$ if $z > 1.28$, corresponding to the alternative hypothesis $\mu > 8$.

Consider a Test Of H0:μ=8\mathrm { H } _ { 0 } : \mu = 8H0​:μ=8

Consider a Test Of $\mathrm { H } _ { 0 } : \mu = 8$