Question

Find the χ2 critical values if you are conducting a χ2-two tailed test based on a simple random sample of size 7, and using a significance level α=0.02.

The left critical value is

The right critical value is

Answer 1

Solution :

Given that,

n = 7

df = n - 1 = 7 - 1 = 6

= 0.02

/ 2 = 0.02 /2 = 0.01

  =  / 2 = 1 - 0.01 = 0.99

Using Chi - Squre table

² _{0 .01 ,6} = 16.8119

² _{0.99 ,6} =  0 .8721

The left tail critical value of chi -= 16.8119

The right tail critical value of chi = 0 .8721