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 αα = 0.01. 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 15 3 22 4 6 5 29 6 27 What is the correct statistical test to use? Select an answer Paired t-test Independence Homogeneity Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The distribution of die rolls is uniform. H1:H1: The distribution of die rolls is uniform. The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we should Select an answer reject the null accept the null fail to reject the null Thus, the final conclusion is... 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. There is insufficient evidence to conclude that the distribution of die rolls is not uniform. There is sufficient evidence to conclude that the distribution of die rolls is uniform. There is insufficient evidence to conclude that the die rolls are dependent.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 outcomes. Use a level of significance of αα = 0.01.

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 15

3 22

4 6

5 29

6 27
What is the correct statistical test to use?
Select an answer Paired t-test Independence Homogeneity Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
- The distribution of die rolls is not uniform.
- The die rolls are dependent.
- The die rolls are independent.
- The distribution of die rolls is uniform.
H1:H1:
- The distribution of die rolls is uniform.
- The distribution of die rolls is not uniform.
- The die rolls are dependent.
- The die rolls are independent.
The degrees of freedom =
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer greater than less than (or equal to) αα
Based on this, we should Select an answer reject the null accept the null fail to reject the null
Thus, the final conclusion is...
- 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.
- There is insufficient evidence to conclude that the distribution of die rolls is not uniform.
- There is sufficient evidence to conclude that the distribution of die rolls is uniform.
- There is insufficient evidence to conclude that the die rolls are dependent.

Outcome	Frequency	Expected Frequency
1	21
2	15
3	22
4	6
5	29
6	27

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