MATH 160 Cuyamaca College Mod 15 Distribution of Sample Proportions Questions

Progress Check

Use this activity to assess whether you and your peers can:

• Use a simulation to obtain a sampling distribution along with its mean, standard deviation, and error.
• Interpret the mean and error for a sampling distribution.

Learn by Doing

Use the rubric at the bottom of this page as a guide for completing this assignment.

Directions

Submit your work:

• Commit a good-faith effort to address all items in the Prompt section below.

Complete your assigned peer reviews:

• After you submit your initial good-faith attempt, continue to the ANSWER(S) page and review your instructor’s response. But please do not submit your corrected work yet.
• Within three days after the due date, return to this assignment and complete your assigned peer reviews (directions (Links to an external site.)).

Submit your corrected work:

• We all learn from mistakes (our own and our classmates’ mistakes). So please do not immediately correct your own mistakes. If possible, wait until you receive feedback from at least one of your peers.
• If necessary, correct your work and resubmit the entire assignment. Your instructor will only review and grade your most recent submission, so please do not refer to a previous submission.

Prompt

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.

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.

Here’s the applet for the simulation:

I have attached it

Peer Reviewed Assignment