1. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults.
Determine the the margin of error using a 95% confidence level.
2. 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".
What is the value of the point estimate of the proportion of Greeks who would rate their lives poorly enough to be considered "suffering"?
Calculate a 95% confidence interval for the this proportion.
3. A national survey conducted in 2011 among a simple random sample of 1,507 adults shows that 56% of Americans think the Civil War is still relevant to American politics and political life.
Conduct a hypothesis test to determine if these data provide strong evidence that the majority of the Americans think the Civil
War is still relevant.
What is the value of the test statistic?
What is the p-value?
b) Calculate a 90% confidence interval for the proportion of Americans who think the Civil War is still relevant.