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 H0: the die is fair, p1 = p2 = … = p6 = 1/6; the alternative Ha: the die is not fair, at least one pi ≠ 1/6.
- What is the critical value of chi-square?
Answer: degrees of freedom df = 6 – 1 = 5. From a table or calculator, χ0.052 =11.071.
Common student mistake #1: [Read more…] about Example problem re: Goodness of Fit test: