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? Response Never Rarely Sometimes Most of the time Always Frequency 139 312 535 1214 2680 (a) Complete the table below. Response Never Probability (Round to the nearest thousandth as needed.) Rarely (Round to the nearest thousandth as needed.) Sometimes (Round to the nearest thousandth as needed.) Most of the time (Round to the nearest thousandth as needed.) Always (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? O A. No, because there were 139 people in the survey who said they never wear their seat belt. O B. Yes, because P(never) <0.05. OC. No, because the probability of an unusual event is 0. O D. Yes, because 0.01

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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?

**Table:**
- Response: Frequency
  - Never: 139
  - Rarely: 312
  - Sometimes: 535
  - Most of the time: 1214
  - Always: 2680

(a) Complete the table below.

| Response        | Probability                                    |
|-----------------|------------------------------------------------|
| Never           | \_\_\_ (Round to the nearest thousandth as needed.) |
| Rarely          | \_\_\_ (Round to the nearest thousandth as needed.) |
| Sometimes       | \_\_\_ (Round to the nearest thousandth as needed.) |
| Most of the time| \_\_\_ (Round to the nearest thousandth as needed.) |
| Always          | \_\_\_ (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?

- A. No, because there were 139 people in the survey who said they never wear their seat belt.
- B. Yes, because P(never) < 0.05.
- C. No, because the probability of an unusual event is 0.
- D. Yes, because 0.01 < P(never) < 0.10.

**Instructions:** Calculate the probabilities by dividing the frequency of each response by the total number of responses, and then round to the nearest thousandth as needed. Use these probabilities to determine if the event is unusual based on the given options.
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 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? **Table:** - Response: Frequency - Never: 139 - Rarely: 312 - Sometimes: 535 - Most of the time: 1214 - Always: 2680 (a) Complete the table below. | Response | Probability | |-----------------|------------------------------------------------| | Never | \_\_\_ (Round to the nearest thousandth as needed.) | | Rarely | \_\_\_ (Round to the nearest thousandth as needed.) | | Sometimes | \_\_\_ (Round to the nearest thousandth as needed.) | | Most of the time| \_\_\_ (Round to the nearest thousandth as needed.) | | Always | \_\_\_ (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? - A. No, because there were 139 people in the survey who said they never wear their seat belt. - B. Yes, because P(never) < 0.05. - C. No, because the probability of an unusual event is 0. - D. Yes, because 0.01 < P(never) < 0.10. **Instructions:** Calculate the probabilities by dividing the frequency of each response by the total number of responses, and then round to the nearest thousandth as needed. Use these probabilities to determine if the event is unusual based on the given options.
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