In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? (a) Complete the table below. Response Never Rarely Sometimes Most of the time Always Probability 0.0326 0.0730 0.1158 0.2713 0.5073 (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? OA. Yes, because P(never) <0.05. OB. Yes, because 0.01

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Hello, I understand how to obtain the frequencies however I do not understand part B, can you please explain it?

-Thank you

In a national survey, college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies are provided in the table on the right. The questions to be addressed include: (a) constructing a probability model for seat belt use by a passenger, and (b) determining whether it would be unusual to encounter a college student who never wears a seat belt when riding in a car driven by someone else.

**Table of Responses and Frequencies:**

- **Response:** Never | **Frequency:** 149
- **Response:** Rarely | **Frequency:** 334
- **Response:** Sometimes | **Frequency:** 530
- **Response:** Most of the time | **Frequency:** 1241
- **Response:** Always | **Frequency:** 2321

**(a) Probability Model:**
Complete the table below by calculating the probabilities based on frequencies. Round probabilities to the nearest thousandth as needed.

- **Never:** Probability = 0.0326
- **Rarely:** Probability = 0.0730
- **Sometimes:** Probability = 0.1158
- **Most of the time:** Probability = 0.2713
- **Always:** Probability = 0.5073

**(b) Determination of Unusualness:**
Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else?

- **Options:**
  - A. Yes, because P(never) < 0.05.
  - B. Yes, because 0.01 < P(never) < 0.10.
  - C. No, because there were 149 people in the survey who said they never wear their seat belt.
  - D. No, because the probability of an unusual event is 0.

---

The table and questions aim to build understanding of probability models and how probabilities can inform judgments about the commonality or rarity of certain behaviors, such as not wearing a seat belt.
Transcribed Image Text:In a national survey, college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies are provided in the table on the right. The questions to be addressed include: (a) constructing a probability model for seat belt use by a passenger, and (b) determining whether it would be unusual to encounter a college student who never wears a seat belt when riding in a car driven by someone else. **Table of Responses and Frequencies:** - **Response:** Never | **Frequency:** 149 - **Response:** Rarely | **Frequency:** 334 - **Response:** Sometimes | **Frequency:** 530 - **Response:** Most of the time | **Frequency:** 1241 - **Response:** Always | **Frequency:** 2321 **(a) Probability Model:** Complete the table below by calculating the probabilities based on frequencies. Round probabilities to the nearest thousandth as needed. - **Never:** Probability = 0.0326 - **Rarely:** Probability = 0.0730 - **Sometimes:** Probability = 0.1158 - **Most of the time:** Probability = 0.2713 - **Always:** Probability = 0.5073 **(b) Determination of Unusualness:** Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? - **Options:** - A. Yes, because P(never) < 0.05. - B. Yes, because 0.01 < P(never) < 0.10. - C. No, because there were 149 people in the survey who said they never wear their seat belt. - D. No, because the probability of an unusual event is 0. --- The table and questions aim to build understanding of probability models and how probabilities can inform judgments about the commonality or rarity of certain behaviors, such as not wearing a seat belt.
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