. Let equal the proportion of motorcyclists who use a helmet in a state that does not have a mandatory seat belt law. It was claimed that = 0.86. An advertising campaign was conducted to increase this proportion. Two months after the campaign, a random sample of 590 motorcyclists were surveyed, and 535 of them were using helmets. Does it seem that the advertising campaign was successful?

a. Define the null and alternative hypotheses

. b. Define a critical region with a significance level of = 0.01. (Assume the large-sample formula for population proportion can be used.)

c. Calculate the value of the test statistic and its associated p-value.

d. What is the outcome of your hypothesis test? As before, include an interpretation in everyday language.