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Chapter 11: Q.5 (page 480)

What does the margin of error for the estimate of a population proportion tell you?

Short Answer

Expert verified

The margin of error is equal to half of the sureness (confidence) interval's length.

Step by step solution

01

Given Information

A population proportion is a percentage of the total population that shares a particular trait.

02

Explanation

The margin of error is half the length of the sureness (confidence) interval in math. The precision with which a sample proportion p^ estimated the population proportion p at the set confidence level is represented by an estimator's margin of error.

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Most popular questions from this chapter

Ballistic Fingerprinting. Refer to Exercise 11.110 and find and interpret a 98%confidence interval for the difference between the percentages of women and men who favor ballistic fingerprinting.

Social Networking. A Pew Internet de American Life Project examined Internet social networking. Among a sample of 929online adults 18-29years old, 836said they use social networking sites. Determine a 95% confidence interval for the percentage of all online adults 18-29 years old who use social networking sites.

Margin of error=0.04

Confidence level=99%

Educated guess=0.3

(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5that of the educated guess.

(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.

11.91 Economic Stimulus. In a national poll, 1053 U.S. adults were asked, "As you may know, Congress is considering a new economic stimulus package of at least 800 billion dollars. Do you favor or oppose Congress passing this legislation?" Of those sampled, 548 favored passage.
a. At the 5% significance level, do the data provide sufficient evidence to conclude that a majority (more than 50% ) of U.S. adults favored passage?
b. The headline on the website featuring the survey read, "In U.S., Slim Majority Supports Economic Stimulus Plan." In view of your result from part (a), discuss why the headline might be misleading.
c. How could the headline be made more precise?

NBA Draft Picks. From Wikipedia's online document "Lis of First Overall NBA Draft Picks," we found that, since 1947, 10.4%of the number-one draft picks in the National Basketball Association have been other than U.S. nationals.

a. Identify the population.

b. Identify the specified attribute.

c. Is the proportion 0.104(10.4%)a population proportion or a sample proportion? Explain your answer.
See all solutions

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