The formula calculate the chi-square critical value follows inv alpha

Solved Step by Step With Explanation- Chi-Square Value

Questions

B. 7.378

C. 9.348

To calculate the chi-square critical value for a given significance level (alpha) and degrees of freedom (df) without using software or tables, you can use the inverse chi-square distribution function. The formula to calculate the chi-square critical value is as follows:

χ²_critical = χ²_inv(1 - alpha, df)

df is the degrees of freedom.

In your case:

Now, you need to find the value of χ²_inv(0.025, 2) from a chi-square distribution table or using a statistical calculator. The value you find is the critical chi-square value.

The critical chi-square value for alpha = 0.025 and df = 2 is approximately 0.051.