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(6 points) Life rating in Greece. Greece faced a severe economic crisis since the end of 2009. Suppose a Gallup poll surveyed 1,000 randomly sampled Greeks in 2011 and found that 24% of them said they would rate their lives poorly enough to be considered "suffering." Round all answers to four decimal places. 1. What is the population parameter of interest? A. The score on the survey that corresponds to suffering. B. The actual proportion of Greeks who believe they are suffering. C. The 25% of Greeks in the sample who believe they are suffering. D. All the people who live in Greece. 2. What is the value of the point estimate of this parameter? 3. Construct a 95% confidence interval for the proportion of Greeks who are "suffering." ( , ) 4. If we decided to use a higher confidence level, the confidence interval would be: A. wider B. narrower C. stay the same 5. If we used the same confidence level with a larger sample, the confidence interval would be: A. wider B. narrower C. stay the same

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Answer:

1. B. The actual proportion of Greeks who believe they are suffering.

2. This is the proportion of Greeks in the sample considered, i.e p = 0.25

3. n = 250 phat - 25% — 0.25 z score - 5%/2 —  2.5 on each end — z = 1.9 se - use formula - .0470.25 +/- 1.9 x .027+: .3675 -: .1325.

4. A. wider

5. B. narrower

Explanation:

In this question, it is essential to estimate the actual population of Greeks that believe they are extremely poor and also suffering. This will be used for proper sampling. Furthermore, in the sample considered, it was discovered that the parameter point estimate is approximately 25% and a change in the sample size or confidence level will alter the interval.

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