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Cigarette Costs In an American Express survey of 1000

Chapter 11, Problem 2CRE

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QUESTION:

Cigarette Costs? In an American Express survey of 1000 adults 18 and older, 62% said that cigarettes should cost more to help offset potential negative health effects. Use the sample data to construct a 95% confidence interval estimate of the percentage of all adults who share that same belief. What can we conclude about a claim that half of all adults share that same belief?

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QUESTION:

Cigarette Costs? In an American Express survey of 1000 adults 18 and older, 62% said that cigarettes should cost more to help offset potential negative health effects. Use the sample data to construct a 95% confidence interval estimate of the percentage of all adults who share that same belief. What can we conclude about a claim that half of all adults share that same belief?

ANSWER:

Solution 2CRE Step1: From the above given problem we have, X ~B(p, q) N = 1000 p = 62% = 0.62 q = (1-p) = 1-0.62 = 0.38 Now, 95% confident interval can be calculated by using the formula X ± Z 2* SE ……..(1) Where, X = mean = p = 0.62 pq And SE = n (0.62)(0.38) = 1000 = 0

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