Question

QUESTION 4 Provide an appropriate response. Find the critical value and rejection region for the type of chi- square test with sample size n and level of significance α. Two- tailed test, n = 12, α = 0.05

Answer 1

Answer: The critical value = 21.920

And the rejection region for this type of chi-square test would be

`X^2> 21.92`

Explanation:

Since we have given that n = 12

'So, we first find the degrees of freedom.

So, degrees of freedom v = n-1 = 12-1 = 11

Now, α = 0.05

since it is two tailed test, so,

`1-(\alpha )/(2)\\\\=1-(0.05)/(2)\\\\=1-0.025\\\\=0.975`

So, using the table of chi square test, we get that

at v = 11, and 0.975,

Critical value = 21.920

Hence, the critical value = 21.920

And the rejection region for this type of chi-square test would be

`X^2> 21.92`