A Census Bureau report revealed that 43.7% of Americans who moved between 2009 and 2010 did so for housing-related reasons, such as the desire to live in a new or better home or apartment
(www.census.gov/newsroom/releases/archives/mobility_of_the_population/cb11-91.html). Suppose that this percentage is true for the current population of Americans.
a. Suppose that 49% of the people in a random sample of 100 Americans who moved recently did so for housing-related reasons. How likely is it for the sample proportion in a sample of 100 to be .49 or more when the population proportion is .437?
b. Refer to part a. How likely is it for the sample proportion in a random sample of 200 to be .49 or more when the population proportion is .437?
c. What is the smallest sample size that will produce a sample proportion of .49 or more in no more than 5% of all sample surveys of that size?