Suppose a game requires a player to roll three 6-sided number cubes. In order to determine if the number cubes behave like fair number cubes, the player rolls them 200 times. After 70 times, none of the cubes showed a 1 or a 2. After 80 times, exactly one of the cubes showed a 1 or a 2. After 40 times, exactly two of the cubes showed a 1 or a 2. After 10 times, all three of the cubes showed a 1 or a 2. Assuming that the number cubes are fair, the expected 8 12 6 27 27 27 probabilities of these outcomes are . and 7, respectively. The player conducts a chi-square test for goodness of fit. What are the chi-square test statistic and the P-value? Find the chi-square table here. O x²=0.02; P-value = 0.999 O x²=3.80; P-value = 0.284 O x²=3.80; P-value = 0.434 O x²=4.19; P-value = 0.242 O x²=4.19; P-value = 0.381

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Suppose a game requires a player to roll three 6-sided number cubes. In order to determine if the number cubes
behave like fair number cubes, the player rolls them 200 times. After 70 times, none of the cubes showed a 1 or a 2.
After 80 times, exactly one of the cubes showed a 1 or a 2. After 40 times, exactly two of the cubes showed a 1 or a
2. After 10 times, all three of the cubes showed a 1 or a 2. Assuming that the number cubes are fair, the expected
8 12 6
probabilities of these outcomes are 27' 27' 27 , and 7, respectively. The player conducts a chi-square test for
1
27
goodness of fit. What are the chi-square test statistic and the P-value?
Find the chi-square table here.
O x²=0.02; P-value = 0.999
x² = 3.80; P-value = 0.284
O x²=3.80; P-value = 0.434
O x²=4.19; P-value = 0.242
x² = 4.19; P-value = 0.381
Transcribed Image Text:Suppose a game requires a player to roll three 6-sided number cubes. In order to determine if the number cubes behave like fair number cubes, the player rolls them 200 times. After 70 times, none of the cubes showed a 1 or a 2. After 80 times, exactly one of the cubes showed a 1 or a 2. After 40 times, exactly two of the cubes showed a 1 or a 2. After 10 times, all three of the cubes showed a 1 or a 2. Assuming that the number cubes are fair, the expected 8 12 6 probabilities of these outcomes are 27' 27' 27 , and 7, respectively. The player conducts a chi-square test for 1 27 goodness of fit. What are the chi-square test statistic and the P-value? Find the chi-square table here. O x²=0.02; P-value = 0.999 x² = 3.80; P-value = 0.284 O x²=3.80; P-value = 0.434 O x²=4.19; P-value = 0.242 x² = 4.19; P-value = 0.381
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