A study conducted by the non-profit Safe Kids campaign in 2004 found that 33% of kids riding a bicycle on a residential street wore a safety helmet. Suppose that you watch a sample of 30 kids riding a bike on a residential street in your community. Let the random variableHrepresent the number of those 30 kids who are wearing a helmet.

(a) WouldHfollow a binomial distribution? Explain.

(b) If the rate of helmet wearing is the same in your community as in the Safe Kids study, how many kids

would you expect to be wearing a helmet?

(c) Explain how you might use a six-sided die to simulate the distribution ofH.

(d) Suppose that 15 of the 30 kids in your sample are wearing a helmet. Is that enough to convince you, at the 10% significance level, that the helmet wearing rate in your community is higher than 33%? Address this question with all of the steps of a test of significance.