Alter getting ounced by your game, you susp the number of times each face appears. Do these results cast doubt on the die's fairness? Complete parts a through g below. d) Check the conditions. Is the counted data condition met? O Yes O No Is the randomization condition met? O Yes Ο O No s the expected cell frequency condition met? O Yes O No ... OA. ² (Round to two decimal places as needed.) O B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. you foll 36 unes e) How many degrees of freedom are there? Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. OB. Since the assumptions are not satisfied, a hypothesis test is not appropriate. f) Find ² and the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice. Face Count Face Cour 17 8 30 1 2 3 12 4 18 5 11 6

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After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 96 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? Complete parts a through g below.

---

| Face | Count |   | Face | Count |
|------|-------|---|------|-------|
| 1    | 12    |   | 4    | 17    |
| 2    | 18    |   | 5    | 8     |
| 3    | 11    |   | 6    | 30    |

---

**d) Check the conditions. Is the counted data condition met?**

- [ ] Yes
- [ ] No

Is the randomization condition met?

- [ ] Yes
- [ ] No

Is the expected cell frequency condition met?

- [ ] Yes
- [ ] No

---

**e) How many degrees of freedom are there? Select the correct choice and, if necessary, fill in the answer box to complete your choice.**

- [ ] A. [   ]
- [ ] B. Since the assumptions are not satisfied, a hypothesis test is not appropriate.

---

**f) Find χ² and the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice.**

- [ ] A. χ² = [   ] (Round to two decimal places as needed.)
- [ ] B. Since the assumptions are not satisfied, a hypothesis test is not appropriate.

Find the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice.

- [ ] A. P-value = [   ] (Round to three decimal places as needed.)
Transcribed Image Text:After getting trounced by your little brother in a children's game, you suspect the die he gave you to roll may be unfair. To check, you roll it 96 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness? Complete parts a through g below. --- | Face | Count | | Face | Count | |------|-------|---|------|-------| | 1 | 12 | | 4 | 17 | | 2 | 18 | | 5 | 8 | | 3 | 11 | | 6 | 30 | --- **d) Check the conditions. Is the counted data condition met?** - [ ] Yes - [ ] No Is the randomization condition met? - [ ] Yes - [ ] No Is the expected cell frequency condition met? - [ ] Yes - [ ] No --- **e) How many degrees of freedom are there? Select the correct choice and, if necessary, fill in the answer box to complete your choice.** - [ ] A. [ ] - [ ] B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. --- **f) Find χ² and the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice.** - [ ] A. χ² = [ ] (Round to two decimal places as needed.) - [ ] B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. Find the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice. - [ ] A. P-value = [ ] (Round to three decimal places as needed.)
Expert Solution
Step 1: Determine the given variables.

The question is about categorical data analysis.

Given :

Total no. of rolls ( n ) = 96

Statistics homework question answer, step 1, image 1


To find :

d ) Check the conditions.

e ) degree of freedom

f ) chi square and P value

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