Refer to the above problem. Another question in the poll was "[How much are] you worried about the quality of education in our schools?" 63% responded "a lot". We are interested in the population proportion of adult Americans who are worried a lot about the quality of education in our schools.
1. Define the Random Variables X and P', in words.
2. Which distribution should you use for this problem? Explain your choice.
3. Construct a 95% confidence interval for the population proportion of adult Americans worried a lot about the quality of education in our schools.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
4. The sampling error given by Yankelovich Partners, Inc. (which conducted the poll) is ± 3%. In 1-3 complete sentences, explain what the ± 3% represents.