A marketing research consultant hired by Coca-Cola is interested in determining the proportion of customers who favor Coke over other soft drinks.A random sample of 400 consumers was selected from the market under investigation and showed that 53% favored Coca-Cola over other brands.

1.a. Compute a 95% confidence interval for the true proportion of people who favor Coke. Do the results of this poll convince you that a majority of people favors Coke?