Module 15 Homework 1 – Distribution of Sample Proportions (12 of 23)

The National Health Survey uses household interviews to describe the health-related habits of U.S. adults. From these interviews they estimate population parameters associated with behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults.

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In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. Imagine that we want to verify this estimate. So we randomly select a sample of 100 smokers and calculate the proportion who started smoking before the age of 16. How much error do we expect in the sample proportions if the 30% is correct for the population overall? Use the applet and a give an error based on 2 standard deviations.

Below is the applet we used in the simulations on the previous page. Here are the directions.

  • Use the first dropdown list to select the appropriate population proportion p.
  • Use the second dropdown list to select the appropriate sample size n.
  • Check the Show Standard Deviation Bars box.
  • Click the Run Simulation (5000 Samples) button.
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