Question

In: Statistics and Probability

Problem 1: Healthcare for all American Please type the answer, thank you . A Gallup poll...

Problem 1: Healthcare for all American Please type the answer, thank you .

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?

Solutions

Expert Solution

The sample in this study is the adult Americans who believe it is the responsibility of the federal government to make sure all Americans have health care coverage.

The population in this study is the total adult Americans.

The variable of interest in this study is the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have health care coverage.

It is quantitative.

The point estimate for the proportion of adult Americans who believe it is the responsibility of the federal government to make sure all Americans have health care coverage is equal to = 493/1050.

Statistic is a part of data obtained from a study of a large quantity of numerical data. Hence, this point estimate is a statistic.

Interpretation:

There is 90% chance that the confidence interval we calculated which is (0.444 , 0.495) contains the true population proportion.

Hope this solution will help you to understand. If you are satisfied with the answer then please please give a like to this answer. Thank you.


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