Question

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 = 0.05. 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 29 2 23 ديا 17 4 10 5 23 6 18 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? HO: O The distribution of die rolls is uniform. The distribution of die rolls is not uniform. O The die rolls are independent. O The die rolls are dependent.

Answer 1

a)

Outcome	Frequency	Expected Frequency
1	29	120/6 = 20
2	23	120/6 = 20
3	17	120/6 = 20
4	10	120/6 = 20
5	23	120/6 = 20
6	18	120/6 = 20

b)

This is a test for tesing the Goodness of fit. So, a Chi-square test should be used.

c)

The null and alternate hypothesis are given by:

H0: The distribution of rolls is uniform.

Ha: The distribution of rolls isn't uniform.