Question

find the critical value(s) and rejection region(s) for a right - tailed chi - square test with a sample size n = 21 and level of significance α = 0.10. click the icon to view the chi - square distribution table. find the critical value(s). (round to three decimal places as needed. use a comma to separate answers as needed.)

Explanation:

Step1: Determine Degrees of Freedom

For a chi - square test, the degrees of freedom ($df$) is calculated as $df=n - 1$. Given $n = 21$, we have $df=21 - 1=20$.

Step2: Find Critical Value

We are conducting a right - tailed chi - square test with $\alpha = 0.10$ and $df = 20$. Using the chi - square distribution table (or a statistical software/calculator), we look for the value of $\chi^{2}$ such that $P(\chi^{2}>\chi_{\alpha,df}^{2})=\alpha$. For $\alpha = 0.10$ and $df = 20$, the critical value $\chi_{0.10,20}^{2}$ is approximately 28.412 (from chi - square distribution tables or using the formula/function for chi - square critical values).

Answer:

28.412