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 294 times and obtain the following frequencies: (You may find it useful to reference the appropriate table: chi- square table or F table) Category 1 2 3 4 5 6 Frequency 54 58 57 40 54 31 &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. 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