Question

A Gallup poll found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.

1. What is the sample in this study? What is the population of interest?
2. What is the variable of interest in this study? Is it qualitative or quantitative?
3. Based on the results of this study, obtain a point estimate for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
4. Explain why the point estimate in #3 is a statistic? What is it a random variable?
5. Construct and interpret a 90% confidence interval for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
6. Name two things that might be done to increase the precision of the confidence interval?

Sample: 1050 adult selected for survey

The variable is " Whether American adult believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage or not?"

It is qualitative variable.

The point estimate is

It is statistic because it is sample proportion.

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To increase the precision, either we can increase the sample size or we can decrease the Confidence level.

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