ou suspect that an unscrupulous employee at a casino has tampered with a die; th
ID: 3356691 • Letter: O
Question
ou suspect that an unscrupulous employee at a casino has tampered with a die; that is, he is using a loaded die. In order to test this claim, you roll the die 297 times and obtain the following frequencies: Use Table 3. Category 1 2 3 4 5 6 Frequency 64 57 57 41 49 29 Picture Click here for the Excel Data File a. Choose the appropriate alternative hypothesis to test if the population proportions differ. All population proportions differ from 1/6. Not all population proportions are equal to 1/6. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b-2. Approximate the p-value. 0.100 < p-value < 0.200 0.010 < p-value < 0.025 0.005 < p-value < 0.010 0.050 < p-value < 0.100 p-value < 0.005 c. At the 10% significance level, can you conclude that the die is loaded? No since the p-value is more than . Yes since the p-value is more than . No since the p-value is less than . Yes since the p-value is less than .
Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: Frequency
Expected: All cells in equal proportion
Hence,
Alternative hypothesis: Not all population proportions are equal to 1/6.
Test statistic = 16.47
0.005 < p-value < 0.010
Yes since the p-value is less than . Option D is correct.
N DF Chi-Square P-value 297 5 16.474747 0.0056Related Questions
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