A traffic safety research team conducted a survey over two years on the use of motorcycle helmets. In the survey, each year 1000 motorcyclists were asked whether they use helmets that are compliant with federal safety regulations. The results are shown below. At α = 0.01, can you support the claim that the proportion of motorcyclists who use such helmets increased from the first year to the second year?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic z, 

(d) Decide whether to reject or fail to reject the null hypothesis, and

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent.

Transcribed Image Text:

Do You Use Helmets that Are Compliant with Federal Saftey Regulations? No No 34.7% 39.3% Yes Yes 60.7% 65.3% Second year First year