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?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.