You 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 252 times and obtain the following frequencies: (You may find it useful to reference the appropriate table: chi- square table or F table) Category Frequency 53 1 2 3 4 48 51 31 40 29 B Click here for the Excel Data File a. Choose the appropriate alternative hypothesis to test if the population proportions differ. O All population proportions differ from 1/6. O Not all population proportions are equal to 1/6. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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