Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
-$\alpha = 0.08 ; H _ { 1 }$ is $\mu \neq 3.24$
A) $1.75$
B) $\pm 1.75$
C) $1.41$
D) $\pm 1.41$

Question

Quizplus · Accepted Answer

Given that $\alpha = 0.08$ and the test is two-tailed (because $H_1$ is $\mu \neq 3.24$), we divide $\alpha$ by 2 to find the critical value for each tail, which is 0.04. Looking up 0.04 in the z-table gives a z-value close to $\pm 1.75$.

Assume That the Data Has a Normal Distribution and the Number