The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 52 80 66 50 48 Ho: Psun* PMon * PTue * Pwed * PThu * PFri * Psat */ / # Ha: All proportions are equal. O Ho: Not all proportions are equal. Ha: Psun* PMon * PTue * Pwed* PThu * PFri * Psat * =-=- (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: Psun - PMon=PTue Pwed=PThu=PFri Psat = = Ha: Not all proportions are equal. = 55 O Ho: Not all proportions are equal. H₂: Psun = PMon =PTue = Pwed=PThu = PFri = Psat == / X 69 Find the p-value. (Round your answer to four decimal places.) p-value= .0239 x Find the value of the test statistic. (Round your answer to three decimal places.) 14.567 X

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The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data:

- **Sunday:** 66
- **Monday:** 50
- **Tuesday:** 52
- **Wednesday:** 48
- **Thursday:** 55
- **Friday:** 69
- **Saturday:** 80

---

**(a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance.**

**State the null and alternative hypotheses:**

- **Option 1 (selected):**
  - \( H_0: p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7} \)
  - \( H_a: \) All proportions are equal.

- **Option 2:**
  - \( H_0: \) Not all proportions are equal.
  - \( H_a: p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7} \)

- **Option 3:**
  - \( H_0: p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7} \)
  - \( H_a: \) Not all proportions are equal.

- **Option 4:**
  - \( H_0: \) Not all proportions are equal.
  - \( H_a: p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7} \)

---

**Find the value of the test statistic.** (Round your answer to three decimal places.)

- **14.567**

**Find the \( p \)-value.** (Round your answer to four decimal places.)

- **\( p\text{-value} = 0.239 \)**

---

**Explanation:**

This analysis
Transcribed Image Text:The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data: - **Sunday:** 66 - **Monday:** 50 - **Tuesday:** 52 - **Wednesday:** 48 - **Thursday:** 55 - **Friday:** 69 - **Saturday:** 80 --- **(a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance.** **State the null and alternative hypotheses:** - **Option 1 (selected):** - \( H_0: p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7} \) - \( H_a: \) All proportions are equal. - **Option 2:** - \( H_0: \) Not all proportions are equal. - \( H_a: p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7} \) - **Option 3:** - \( H_0: p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7} \) - \( H_a: \) Not all proportions are equal. - **Option 4:** - \( H_0: \) Not all proportions are equal. - \( H_a: p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7} \) --- **Find the value of the test statistic.** (Round your answer to three decimal places.) - **14.567** **Find the \( p \)-value.** (Round your answer to four decimal places.) - **\( p\text{-value} = 0.239 \)** --- **Explanation:** This analysis
(b) Compute the percentage of traffic accidents occurring on each day of the week. (Round your answers to two decimal places.)

- Sunday: 15.71% ✔️
- Monday: 11.90% ✔️
- Tuesday: 12.86% ❌
- Wednesday: 10.95% ❌
- Thursday: 13.10% ✔️
- Friday: 16.43% ✔️
- Saturday: 19.05% ✔️

Explanation:

The table lists the percentage of traffic accidents for each day of the week. Under each day, a percentage value is provided representing the portion of accidents occurring on that day. A check mark indicates a correct value, while an X indicates an incorrect one.
Transcribed Image Text:(b) Compute the percentage of traffic accidents occurring on each day of the week. (Round your answers to two decimal places.) - Sunday: 15.71% ✔️ - Monday: 11.90% ✔️ - Tuesday: 12.86% ❌ - Wednesday: 10.95% ❌ - Thursday: 13.10% ✔️ - Friday: 16.43% ✔️ - Saturday: 19.05% ✔️ Explanation: The table lists the percentage of traffic accidents for each day of the week. Under each day, a percentage value is provided representing the portion of accidents occurring on that day. A check mark indicates a correct value, while an X indicates an incorrect one.
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