[embedyt] http://www.youtube.com/watch?v=dv5R6WqLzXQ[/embedyt]

# contingency table

## Example problem re: Goodness of Fit test:

You are given a six-faced die and asked to determine with 95% confidence if it is “fair.”

**What are the hypotheses?**

Answer: the null H_{0}: the die is fair, p_{1} = p_{2} = … = p_{6} = 1/6; the alternative Ha: the die is not fair, at least one p_{i} ≠ 1/6.

**What is the critical value of chi-square?**

Answer: degrees of freedom df = 6 – 1 = 5. From a table or calculator, χ_{0.05}^{2} =11.071.

**Common student mistake #1:** [Read more…] about Example problem re: Goodness of Fit test: