Question

A survey was conducted to provide probability-based data on motorcycle helmet use within a country. The survey was conducted by sending observers to randomly selected roadway sites where they collected data on motorcycle helmet use, including the number of motorcyclists wearing a compliant helmet. Sample data consistent with the most recent survey are shown below.

Region	Compliant	Noncompliant
Northeast	97	61
Midwest	87	42
South	93	48
West	77	15
Total	354	166

(a)

Use the sample data to compute an estimate of the probability that a motorcyclist wears a compliant helmet. (Round your answer to four decimal places.)

(b)

The probability that a motorcyclist wore a compliant helmet five years ago was 0.49, and last year this probability was 0.64. Would the country's traffic safety officials be pleased with the most recent survey results?

No, the probability that a motorcyclist wears a compliant helmet appears to be increasing.Yes, the probability that a motorcyclist wears a compliant helmet appears to be decreasing.    No, the probability that a motorcyclist wears a compliant helmet appears to be decreasing.Yes, the probability that a motorcyclist wears a compliant helmet appears to be increasing.

(c)

What is the probability of compliant helmet use by region of the country? (Round your answers to four decimal places.)

P(compliant and Northeast)

=

P(compliant and Midwest)

=

P(compliant and South)

=

P(compliant and West)

=

What region has the highest probability of compliant helmet use?

NortheastMidwest    SouthWest

Answer 1