Question
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
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 662 Millennials was taken, and each was asked to report the highest level of completed education. It was found that 221 of those surveyed had completed a Bachelor's degree or higher.
- With 95% 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 710 Gen Xers (those born between 1965 & 1980) was taken and they were asked the same question. Of this sample, 173 individuals had completed a Bachelor's degree or highter.
- With 95% 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?
- 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.
- 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 the entire interval for this group exceeds the interval for the Gen Xers.
- 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.
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