A union official wanted to get an idea of whether a majority of workers at a large corporation would favor a contract proposal. She surveyed 500 workers and found that 240 did not favor the proposal.
(a) Find a 96% confidence interval for the proportion of all the workers who favor the contract proposal.
(b) Find the maximum error of the estimate.
(c) Based on the results of part (a), can we conclude that the contract will be ratified by the membership?