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Cigarette Costs In an American Express survey of 1000

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 2CRE Chapter 11.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 2CRE

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?

Step-by-Step Solution:
Step 1 of 3

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 = 0.015 To find the critical value, a/2 : Here, the confidence level is 95%. Convert the percentage to a decimal, .95, and divide it by 2 to get .475. Then, check out the z table to find the corresponding value that goes with .475. You'll see that the closest value is 1.96, at the intersection of row 1.9 and the column of .06. Therefore Z 2 value is 1.96 Now, 95% confident interval is = 0.62 ±1.96 * 0.015 = 0.62 ± 0.0294 = (0.5906, 0.6494) 59% < p < 65% This interval does not contain half of the sample, hence claim should be rejected.

Step 2 of 3

Chapter 11.3, Problem 2CRE is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The answer to “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?” is broken down into a number of easy to follow steps, and 65 words. The full step-by-step solution to problem: 2CRE from chapter: 11.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: adults, share, belief, express, cigarettes. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 2CRE from 11.3 chapter was answered, more than 396 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.

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Cigarette Costs In an American Express survey of 1000