Investigation 4: Bachelor's Degrees around the DMV Continued (no data set)

From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United States residents over the age of 25 had an educational attainment of having a bachelor's degree or higher. In the District of Columbia the percentage of residents over the age of 25 who had attained a bachelor's degree or higher was greater than any other state at 59.67%. One sample of 77 U.S. residents over 25 was randomly and independently selected. of those sampled, 39 had a bachelor's degree or higher. assume the population of U.S. residents over 25 is 250 million.

a. calculate the sample proportion of U.S. residents over 25 who had a bachelor's degree or higher. Type the calculation and round the answer to four decimal places.

b. write one sentence each to check the three conditions of the Central Limit theorem. Type the work for all mathematical calculations needed to check these conditions.

c. Using the sample proportion obtained in (a), construct a 90% confidence interval to estimate the population proportion of US residents over 25 who had a bachelor's degree or higher. type all calculations using the formula Round confidence limits to two decimal places.