module 15 distribution of sample proportions 21 of 23 discussion 3 mod 15 group 4

Module 15 – Distribution of Sample Proportions (21 of 23 discussion 3) – Mod 15 Group 4

From 2020SP-MATH-160-6897

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Recall the use of data from the National Health Survey to estimate behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16.

Suppose that we randomly select 100 U.S. adults who are smokers and find that 25% of this sample started smoking before the age of 16. Is this much error surprising? Find the probability that a sample proportion will be an over- or underestimate of the parameter by more than 5%.

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