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 : _______

1. Ha : _______
2. In words,CLEARLYstate what your random variablerepresents.
3. State the distribution to use for the test.
4. What is the test statistic?
5. What is thep-value? In one or two complete sentences, explain what thep-value means for this problem.
6. 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 thep-value.

FigureE1

1. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion, usingcomplete sentences.
2. Alpha: _______
3. Decision: _______
4. Reason for decision: _______
5. Conclusion: _______
6. 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.