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

I’m studying for my Statistics class and need an explanation.

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

## Learn by Doing

Here are the directions, grading rubric, and definition of high-quality feedback for the Learn by Doing discussion board exercises.

### Prompt

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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#### Tips for Success

• Did you make a mistake in your initial post? No problem! Just be sure to reply to yourself and note any corrections that need to be made.
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