Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 100 randomly sampled Greeks in 2011 and found that 25% of them said they would rate their lives poorly enough to be considered "suffering".

a. Describe the population parameter of interest. What is the value of the point estimate of this parameter?

b. Check if the conditions required for constructing a confidence interval based on these data are met. Explain.

c. Construct a 95% confidence interval for the proportion of Greeks who are "suffering" and interpret it in the context of the research.

d. Suppose that in 2010 (the previous year), a similar study found that 17% of them said they would rate their lives poorly enough to be considered "suffering". A researcher wants to determine whether the current year result is significantly different from 17%.

i. Using symbols and/or words, state the hypotheses.

ii. Check the necessary assumptions to conduct the hypothesis test.

iii. Calculate the test statistic (Show work).

iv. Find and/or calculate the corresponding p-value. (You may use z-table orStata commandnormal orprtesti.)

v. At the 0.05 significance level, what is your conclusion? Interpret in the context of the research question.

c. Using the confidence interval in (c) and the test result in (d), would you reach the same conclusion? Comment and explain.