Fifteen percent of Australians smoke. By introducing tough laws banning brand labels oncigarette packages, Australia hopes to reduce the percentage of people smoking to 10%by 2018 (Reuters website, October 23, 2012). Answer the following questions based on asample of 240 Australians.a. Show the sampling distribution of p, the proportion of Australians who are smokers.b. What is the probability the sample proportion will be within 6.04 of the populationproportion?c. What is the probability the sample proportion will be within 6.02 of the populationproportion?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
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Fifteen percent of Australians smoke. By introducing tough laws banning brand labels on
cigarette packages, Australia hopes to reduce the percentage of people smoking to 10%
by 2018 (Reuters website, October 23, 2012). Answer the following questions based on a
sample of 240 Australians.
a. Show the sampling distribution of p, the proportion of Australians who are smokers.
b. What is the probability the sample proportion will be within 6.04 of the population
proportion?
c. What is the probability the sample proportion will be within 6.02 of the population
proportion?

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