Suppose that you decide to randomly sample people ages 18-24 inyour county to determine whether or not they are registered tovote. In your sample of 50 people, 35 said they were registered tovote. a) (2 points) Find a 95% confidence interval for the trueproportion of the county population ages 18-24 who are registeredto vote. Make sure to check any necessary conditions and to state aconclusion in the context of the problem. Also, explain what 95%confidence means in this context. b) (1 point) What is theprobability that the true proportion of people ages 18-24 whoregistered to vote in your county is in your particular confidenceinterval? (Note: Be careful). c) (1 point) According to a separatenews report, about 73% of 18- to 24-year-olds in the same countysaid that they were registered to vote. Does the 73% figure seemreasonable with your own poll? Explain. d) (1 point) Assume youhave not done your poll yet, but you knew the news report pollresults. In designing your poll now, you want separately estimatethe same percentage to within ±4 percentage points with 95%confidence, how many people should you poll?
