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A CBS News poll conducted in the United States November 16-19, 2012, asked, \"Do

ID: 3358763 • Letter: A

Question

A CBS News poll conducted in the United States November 16-19, 2012, asked, "Do you think the use of marijuana should be legal or not?" In the nationwide poll of n 1100 adults, 47% said that they favored legalization. The margin of error was given as 3% (Source: http://www.pollingreport.com). a. Find a 95% confidence interval estimate of the percentage of American adults who favored the egalization of marijuana at the time of the poll. b. Write a sentence that interprets the interval computed in part (a).

Explanation / Answer

At 95% cinfidence interval the critical value is 1.96

P +/- margin of error

= 0.48 +/- 0.03

= 0.45, 0.51

B) We are 95% sure that the percentage of American who favoured the legalization lies between the confidence interval values.

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