a study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their…

a study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. the authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. they will use a significance level of 5% for their test.\n\n| upper - tail values | | | |\n| ---- | ---- | ---- | ---- |\n| a | 5% | 2.5% | 1% |\n| critical z - values | 1.65 | 1.96 | 2.58 |\n\nwhat is (are) the critical value(s) for z in this study?\n-1.65 and 1.65\n-1.96 and 1.96\n1.65\n1.96

a study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. the authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. they will use a significance level of 5% for their test.\n\n| upper - tail values | | | |\n| ---- | ---- | ---- | ---- |\n| a | 5% | 2.5% | 1% |\n| critical z - values | 1.65 | 1.96 | 2.58 |\n\nwhat is (are) the critical value(s) for z in this study?\n-1.65 and 1.65\n-1.96 and 1.96\n1.65\n1.96

Answer

Explanation:

Step1: Identify the test type

The study wants to know if two - groups have different levels of job satisfaction, so it's a two - tailed test.

Step2: Find the critical z - value for two - tailed test at 5% significance level

For a two - tailed test with $\alpha = 0.05$, we split the significance level into two equal parts ($\frac{\alpha}{2}=0.025$) for each tail. Looking at the table, the critical z - value for an upper - tail area of 0.025 is 1.96. In a two - tailed test, the critical values are $-z_{\alpha/2}$ and $z_{\alpha/2}$. So the critical values are - 1.96 and 1.96.

Answer:

-1.96 and 1.96