(b) What is the Expected count for each side, for these 48 rolls? (c) Is the sample size large enough? O No, because some categories have less than 10. O Yes, because the Expected count is close to the Observed cell count for every category. O Yes, because the Expected count is at least 5 for every category. No, because some categories have less than 30. (d) Suppose you got a relatively small test statistic. What would this imply? The observed counts are B the expected counts, providing (e) The test statistic is 3.50. What is the p-value? (Use 4 decimals.) (f) What is the appropriate test conclusion, for a 0.05? O Reject Ho: There is sufficient evidence the dice are unfair. O Reject Ho There is insufficient evidence the dice are unfair. Don't reject Ho: There is sufficient evidence the dice are unfair. O Don't reject Ho: There is insufficient evidence the dice are unfair. evidence that the dice are unfair (Ha). This would lead to a relatively p-value You suspect one of the employees in a casino is using loaded dice. You observe them rolling the dice 48 times and record the following results Face Observed count "1" 4 2 11 (a) Which hypotheses should be used to test if the dice are unfair? Identify Hol OH D D D3 O Hoi Ps P2 D3 D4 Ds De 1/6, implying the dice are unfair D4 Ds Ds 1/6, implying the dice are fair Identify Ha OH, at least one p 1/6, implying the dice are unfair OH, at least one p 1/6, implying the dice are fair "3" 9 (b) What is the Expected count for each side, for these 48 rolls (c) is the sample size large enough? O No, because some categories have less than 10. O Yes, because the Expected count is close to the Observed cell count for every category. O Yes, because the Expected count is at least 5 for every category. No, because some categories have less than 30. "4" 8 "5" 7 "6 9