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A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 1 21 2 23 3 23 4 16 5 20 6 17 Calculator Scratchwork Area b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: The distribution of die rolls is uniform. The distribution of die rolls is not uniform. O The die rolls are dependent. O The die rolls are independent. H: The distribution of die rolls is not uniform. O The die rolls are dependent. O The distribution of die rolls is uniform. O The die rolls are independent. d. The degrees of freedom = e. The test-statistic for this data = (Please show your answer to three decimal places.) f. The p-value for this sample = g. The p-value is Select an answer a h. Based on this, we should Select an answer i. Thus, the final conclusion is... (Please show your answer to four decimal places.) There is insufficient evidence to conclude that the distribution of die rolls is not uniform. O There is sufficient evidence to conclude that the distribution of die rolls is uniform. There is sufficient evidence to conclude that the distribution of die rolls is not uniform. There is sufficient evidence to conclude that the die rolls are dependent. O There is insufficient evidence to conclude that the die rolls are dependent.
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