The Bureau of Labor Statistics† reported that 7.3% of high school graduates were unemployed in October 2013 and 5.7% of high school graduates were unemployed in October 2014. Suppose that the reported...


The Bureau of Labor Statistics† reported that 7.3% of high school graduates were unemployed in October 2013 and 5.7% of high school graduates were unemployed in October 2014. Suppose that the reported percentages were based on independently selected representative samples of 1000 high school graduates in each of these 2 years.



(a)


Construct a 99% large-sample confidence interval for the difference in the proportions of high school graduates who were unemployed in these 2 years. (Usep
2013 −p
2014. Round your answers to four decimal places.)










,









Interpret the interval.


We are 99% confident that the true mean proportion of high school graduates who were unemployed in 2014 falls within this interval.There is a 99% chance that the true difference in the proportions of high school graduates who were unemployed in 2013 and 2014 falls directly in the middle of this interval.    We are 99% confident that the true mean proportion of high school graduates who were unemployed in 2013 falls within this interval.There is a 99% chance that the true mean proportion of high school graduates who were unemployed in 2013 falls directly in the middle of this interval.We are 99% confident that the true difference in the proportions of high school graduates who were unemployed in 2013 and 2014 falls within this interval.





Jun 09, 2022
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