European Union
According to a Euro barometer survey, only 27% of the respondents in Cyprus in 2013 favored European Union (EU) membership, whereas in 2012, 35% of the respondents favored it.
a. Can we conclude, from these two percentages alone, that in Cyprus, a lower percentage favored EU membership in 2013 than in 2012? Explain.
b. Assume that the sampling was done with 1000 random people in 2012 and 1000 random people in 2013. How many of the people in 2012 and how many of the people in 2013 favored EU membership?
c. Assume again that the sampling was done with 1000 random people in 2012 and 1000 random people in 2013. Report the numbers you would need to put in the TI-84 input screen to replace the zeroes. Let sample 1 be the proportion supporting EU membership in 2013.
d. Check that the conditions for using the two-proportion confidence interval hold.
e. Find a 95% confidence interval for the difference in proportions supporting EU membership (2013 minus 2012), and interpret the interval.