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. O B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. f) Find x² and the P-value. Select the correct choice and, if necessary, fill in the answer box to complete your choice. OA. = (Round to two decimal places as needed.) O 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. OA. P-value = (Round to three decimal places as needed.) O B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. g) State your conclusion. Assume that 0.05 is a reasonable significance level.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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    |

---

**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.)
- B. Since the assumptions are not satisfied, a hypothesis test is not appropriate.

---

**g) State your conclusion. Assume that 0.05 is a reasonable significance level.**

- A. Reject the null hypothesis. There is not sufficient evidence to support the claim.
- B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim.
- C. Reject the null hypothesis. There is sufficient evidence to support the claim.
- D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim.
- E. Since the assumptions are not satisfied, a hypothesis test is not appropriate.
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 | --- **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.) - B. Since the assumptions are not satisfied, a hypothesis test is not appropriate. --- **g) State your conclusion. Assume that 0.05 is a reasonable significance level.** - A. Reject the null hypothesis. There is not sufficient evidence to support the claim. - B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim. - C. Reject the null hypothesis. There is sufficient evidence to support the claim. - D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim. - E. Since the assumptions are not satisfied, a hypothesis test is not appropriate.
Expert Solution
Step 1: Determine the given data in the question

The experiment of the die is given below.

Given that,

FaceCount
112
218
311
417
58
630
Total96

Total frequency left parenthesis n right parenthesis equals 96

Total no. of outcomes left parenthesis k right parenthesis equals 6

Assume the level of significance left parenthesis alpha right parenthesis equals 0.05


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