Only H & I H: reject the null or fail to reject or accept to reject

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Only H & I

H: reject the null or fail to reject or accept to reject 

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
1
19
202
2
25
20
3
19
20
11
20
26
20
20
20
b. What is the correct statistical test to use?
Goodness-of-Fit
c. What are the null and alternative hypotheses?
Но:
O The die rolls are dependent.
The distribution of die rolls is uniform.
O The die rolls are independent.
O The distribution of die rolls is not uniform.
H1:
The die rolls are dependent.
O The distribution of die rolls is uniform.
O The distribu+ion of cie rolls ic pot uniform
6.
Transcribed Image Text: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 1 19 202 2 25 20 3 19 20 11 20 26 20 20 20 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Но: O The die rolls are dependent. The distribution of die rolls is uniform. O The die rolls are independent. O The distribution of die rolls is not uniform. H1: The die rolls are dependent. O The distribution of die rolls is uniform. O The distribu+ion of cie rolls ic pot uniform 6.
26
20
6
20
20
b. What is the correct statistical test to use?
Goodness-of-Fit
c. What are the null and alternative hypotheses?
Но:
O The die rolls are dependent.
The distribution of die rolls is uniform.
O The die rolls are independent.
The distribution of die rolls is not uniform.
H1:
The die rolls are dependent.
O The distribution of die rolls is uniform.
O The distribution of die rolls is not uniform.
O The die rolls are independent.
d. The degrees of freedom = 5
e. The test-statistic for this data = 0.3179
(Please show your answer to three decimal places.)
f. The p-value for this sample = 0.9973
(Please show your answer to four decimal places.)
g. The p-value is greater than
h. Based on this, we should Select an answer
i. Thus, the final conclusion is...
O 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.
O There is insufficient evidence to conclude that the die rolls are dependent.
There is sufficient evidence to conclude that the distribution of die rolls is uniform.
Transcribed Image Text:26 20 6 20 20 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Но: O The die rolls are dependent. The distribution of die rolls is uniform. O The die rolls are independent. The distribution of die rolls is not uniform. H1: The die rolls are dependent. O The distribution of die rolls is uniform. O The distribution of die rolls is not uniform. O The die rolls are independent. d. The degrees of freedom = 5 e. The test-statistic for this data = 0.3179 (Please show your answer to three decimal places.) f. The p-value for this sample = 0.9973 (Please show your answer to four decimal places.) g. The p-value is greater than h. Based on this, we should Select an answer i. Thus, the final conclusion is... O 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. O There is insufficient evidence to conclude that the die rolls are dependent. There is sufficient evidence to conclude that the distribution of die rolls is uniform.
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