A recent article in The Economist reported on the decision by Zillow to "shut down its huge instant-buying, or i-buying, business, which uses big data and algorithms to make offers on homes in dozens of cities in America and then swiftly sells them on." According to a former Zillow employee, the company aimed to have 50% of its offers to be accepted. Suppose that Zillow made 100 offers to homeowners and 74 of them were accepted.

a. Construct a 99% CI estimate of the population proportion of Zillow's offers that are accepted. Explain whether the algorithm currently used by Zillow yields an acceptance rate higher than the 50% rate that Zillow intended to have.