In a January 2014 survey conducted by the Associated Press- We TV, 68% of American adults said that owning a home is the most important thing or a very important but not the most important thing (opportunityagenda.org). Assume that this survey was based on a random sample of 900 American adults.
a. Construct a 95% confidence interval for the proportion of all American adults who will say that owning a home is the most important thing or a very important but not the most important thing.
b. Explain why we need to construct a confidence interval. Why can we not simply say that 68% of all American adults would say that owning a home is the most important thing or a very important but not the most important thing?