T7 SOLUTIONS_Combined_1_2018.pdf

# Obtain a 95 confidence interval for the proportion of

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Obtain a 95% confidence interval for the proportion of Australians aged over 15 who currently smoke. State the formula, show ALL working and remember to always interpret your interval in the context of this question. Solution: Let X = No of Australians, 15 years or older, who smoke. X=784, n=5,000 np=5000X0.1568=784 and n(1-p)= 5000(1-0.1568)=4216 Since both are greater than 5, the normal approximation is valid.

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ETF1100 Business Statistics SOLUTIONS Tutorial 7 11 With 95% confidence, we can state that the proportion of Australians over 15 years of age who currently smoke is between 0.147 and 0.167 Or, 14.7% - 16.7%
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