For an exit poll of people who voted in a guber- natorial election, 40% voted for Jones and 60% for Smith. Assuming this is a random sample of all voters, construct a 99% confidence interval for the proportion of votes that Jones received, if the sam- ple size was

(a) 400,

(b) 40. In cach case, indicate whether you would be willing to predict the win- ner. Explain how and why the sample size affects the inference.