Question: A survey is done to estimate the proportion of a population that favors a new tax law proposal for a city. In a randomly selected sample of n = 400 city residents, 43% favor the proposal.
a. Calculate a 95% confidence interval that estimates the population proportion in favor of the proposed law.
b. On the basis of the confidence interval found in part (a), can we infer that fewer than 50% of the population favors the proposed law?