A survey was undertaken to compare the educational background of
several different generation. One generation of interest was the
Millennials (those born after 1980). A sample of 653 Millennials
was taken, and each was asked to report the highest level of
completed education. It was found that 218 of those surveyed had
completed a Bachelor's degree or higher.
- With 99% confidence, we estimate between % and % of all
Millennials have completed a Bachelor's degree or higher. (After
converting to percentages, round the limits of your interval to two
decimal places.)
A sample of 524 Gen Xers (those born between 1965 & 1980)
was taken and they were asked the same question. Of this sample,
132 individuals had completed a Bachelor's degree or highter.
- With 99% confidence, we estimate between % and % of all Gen
Xers have completed a Bachelor's degree or highter. (After
converting to percentages, round the limits of your interval to two
decimal places.)
Based on the two intervals calculated, can we conclude there is
a difference in the percentage of individuals in these two
generations who have completed a Bachelor's degree or higher?
- The data collected is inconclusive because the intervals
estimating the proportion who have completed a Bachelor's degree or
higher for the two generations overlap.
- A larger percentage of Millennials have completed a Bachelor's
degree or higher because the entire interval for this group exceeds
the interval for the Gen Xers.
- A larger percentage of Millennials have completed a Bachelor's
degree or higher because the upper limit of the confidence interval
for this group is greater than the upper limit of the confidence
interval for Gen Xers.
- A larger percentage of Millennials have completed a Bachelor's
degree or higher because most of the interval for this group
exceeds the interval for the Gen Xers.