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Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sampled Greeks in 2011 and found that
Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 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. O the proportion of all Greeks who would rate their lives as poorly enough to be considered "suffering" O all Greeks the proportion of all Greeks who say they were negatively affected by the economic crisis What is the value of the point estimate of this parameter? (Enter your answer to two decimal places.) p = (b) Check if the conditions required for constructing a confidence interval based on these data are met. The data must be independent v . Since the sample is vy random, and 1,000 represents less than 10% of all Greeks, this condition is met. The success-failure v . condition must also be met. Since 1,000 x 0.25 = 250, which is greater than V 10, and 1,000 x 0.75 = 750, which is greater than v . 10, this condition is also met. (c) Construct a 95% confidence interval for the proportion of Greeks who are "suffering." (Round your answers to four decimal places.) (d) Without doing any calculations, describe what would happen to the confidence interval if we decided to use a higher confidence level. Increasing the confidence level would increase the margin of error, and hence make the interval narrower. Increasing the confidence level would decrease the margin of error, and hence make the interval narrower. O Increasing the confidence level would decrease the margin of error, and hence widen the interval. Increasing the confidence level would increase the margin of error, and hence widen the interval. (e) Without doing any calculations, describe what would happen to the confidence interval if we used a larger sample. O Increasing the sample size would increase the margin of error, and hence make the interval narrower. Increasing the sample size would decrease the margin of error, and hence make the interval wider. Increasing the sample size would decrease the margin of error, and hence make the interval narrower. Increasing the sample size would increase the margin of error, and hence make the interval wider
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