For the following problems, use the chi-square solution sheet from Appendix E (attached below). Round expected frequency to two decimal places. You will need to complete steps a through h. Submit the solution sheet to your mentor along with your work for Practice Exercises 5.   A 6-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data in the table below are the result of the 120 rolls.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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For the following problems, use the chi-square solution sheet from Appendix E (attached below). Round expected frequency to two decimal places. You will need to complete steps a through h. Submit the solution sheet to your mentor along with your work for Practice Exercises 5.

 

  1. A 6-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data in the table below are the result of the 120 rolls. 

Face Value

Frequency

Expected Frequency

1

15

 

2

29

 

3

16

 

4

15

 

5

30

 

6

15

 
  1. H0 : _______
  2. Ha :  _______
  3. What are the degrees of freedom?
  4. State the distribution to use for the test.
  5. What is the test statistic?
  6. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
  7. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure E4

  1. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
    1. Alpha: _______
    2. Decision: _______
    3. Reason for decision: _______
    4. Conclusion: _______
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Can you give a little more detailed explanation? What is the alpha and how does it mathmatically relate? 

  1. Alpha: _______
  2. Decision: _______
  3. Reason for decision: _______
  4. Conclusion: _______
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