Algebra II.4.C.22 - Evaluating Reports Based on Data from a Sample – Exit Ticket

By Formative Library
Last updated almost 3 years ago
4 Questions
The Gallup organization published the following results from a poll that it conducted.
As health experts increasingly focus on the medical benefits of a healthy lifestyle and preventative healthcare, Americans say their doctor does commonly discuss the benefits of healthy habits with them. Specifically, 71% say their doctor usually discusses the benefits of engaging in regular physical exercise, and 66% say their doctor usually discusses the benefits of eating a healthy diet. Fewer Americans, 50%, say their doctor usually discusses the benefits of not smoking, although that number jumps to 79% among smokers. Survey Methods Results for this Gallup poll are based on telephone interviews conducted July 10–14, 2013, with a random sample of 2,027 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on the total sample of national adults, one can say with 95% confidence that the margin of sampling error is ±3 percentage points.
1.

The headline of the article is “Smokers Much More Likely Than Nonsmokers to Say Doctor Discusses Not Smoking.” Do you agree with this headline? Explain your answer.

2.

Using the data “71% say their doctor usually discusses the benefits of engaging in regular physical exercise,” calculate the margin of error. Show your work.

3.

How do your results compare with the margin of error stated in the article?

4.

Interpret the margin of error in this context.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic C, Lesson 22. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.