Question

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? sometimes 0.127 (round to the nearest thousandth as needed.) most of the time 0.250 (round to the nearest thousandth as needed.) always 0.525 (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. yes, because p(never) < 0.05. b. no, because the probability of an unusual event is 0. c. yes, because 0.01 < p(never) < 0.10. d. no, because there were 108 people in the survey who said they never wear their seat belt.

Explanation:

Step1: Calculate total frequency

$108 + 338+574 + 1129+2373=4522$

Step2: Calculate probability of 'never'

$P(\text{never})=\frac{108}{4522}\approx0.024$

Step3: Determine if it's unusual

Since $0.024<0.05$, an event with probability less than $0.05$ is considered unusual.

Answer:

A. Yes, because P(never) < 0.05