A random sample of 500 U.S. adults (25 years old and older) taken this year gave
the following frequency distribution.
Decide, at the 5% significance level, whether this year’s distribution of educational
attainment differs from the 2000 distribution.
Answer :
𝐻0:𝑡ℎ𝑖𝑠 𝑦𝑒𝑎𝑟′𝑠 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝑜𝑓 𝑒𝑑𝑢𝑐𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑎𝑡𝑡𝑎𝑖𝑛𝑚𝑒𝑛𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑎𝑚𝑒 𝑎𝑠 𝑡ℎ𝑒 2000 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝐻1:𝑡ℎ𝑖𝑠 𝑦𝑒𝑎𝑟′𝑠 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝑜𝑓 𝑒𝑑𝑢𝑐𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑎𝑡𝑡𝑎𝑖𝑛𝑚𝑒𝑛𝑡 𝑖𝑠 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑓𝑟𝑜𝑚 𝑡ℎ𝑒 2000 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
We are to perform the test as the 5% significance level so 𝛼 = 0.05
11. Educational Attainment. The U.S. Census Bureau compiles census data on
educational attainment of Americans. From the document Current Population
Reports, we obtained the 2000 distribution of educational attainment for U.S. adults
25 years old and older. Here is that distribution.
