Question

A professional pollster takes an exit poll for an election of a governor in Pennsylvania. Of...

A professional pollster takes an exit poll for an election of a governor in Pennsylvania. Of the 1350 adults who voted in that election, 670 say they voted for the Democratic candidate. We will treat this exit poll as a random sample of all the people who voted in that election.

1. What is the population?

a) The 1350 people who were surveyed

b) All adults in PA who voted in that election

c) All adults in PA

d) All adults in PA who voted for a Democratic candidate in that election

2. The parameter of interest is described using the variable p. Circle all the correct statements:

a) p is the proportion of the sample that voted for the Democrat.

b) p is the proportion of all those voting in that election who voted for the Democrat.

c) The value of p is unknown.

3. What is the value of "p hat" for this situation?

4. Find the margin of error for a 95% confidence interval.

5. Calculate a 95% confidence interval for this situation. What is final answer in the form ( , )?  

6. Fill in the blanks: I am 95% confident that between _____% and _____% of all the people voting voted for the Democrat.

7. Did the Democrat win the election?

8. Now consider 99% confidence interval for this situation. Whats the interval?

9. Is the 99% confidence interval wider than the 95% confidence interval?

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