After getting beat by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness?

Face Count	1	2	3	4	5	6
number of times rolled	15	6	10	5	9	15
expected number of times rolled	10	10	10	10	10	10

Research Question: Do you think the die is unfair? 1. Check the conditions. a sentence stating how this situation meets each condition.

• Counted data
• Independent counts
• Sample size - at least 5 of each count

2. State the hypotheses, null and alternative. 3. Test the hypotheses using a chi-squared goodness-of-fit test. Using StatCrunch or other technology, give the value of the chi-squared test statistic 2 . (You do not have to attach your work!)

4. State your conclusion. a sentence that explains whether you reject or fail to reject the null hypothesis. After stating your conclusion, a sentence or two explaining why your decision makes sense in this situation. Then, answer the research question above in simple, everyday language.