Problem

Find the critical value(s) and rejection region(s) for a right-tailed chi-square test with a sample size $n=13$ and level of significance $\alpha=0.10$.
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.)

Answer

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Answer

Final Answer: The critical value is \(\boxed{18.549}\).

Steps

Step 1 :The critical value for a chi-square distribution can be found using the chi-square distribution table. The degrees of freedom for the chi-square test is n-1, where n is the sample size. In this case, the degrees of freedom is 13-1=12. The level of significance is 0.10. We are looking for the critical value for a right-tailed test, which means we are looking for the value that corresponds to the area to the right of the critical value being 0.10.

Step 2 :The critical value for a right-tailed chi-square test with a sample size of 13 and a level of significance of 0.10 is approximately 18.549. This means that if the test statistic is greater than this value, we would reject the null hypothesis.

Step 3 :Final Answer: The critical value is \(\boxed{18.549}\).

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