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Chapter 8: Q.9 (page 524)

A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of

error account for the fact that some adults do not have telephones?

(a) Yes. The margin of error includes all sources of error in the poll.

(b) Yes. Taking an SRS eliminates any possible bias in estimating the population proportion.

(c) Yes. The margin of error includes under coverage but not nonresponse.

(d) No. The margin of error includes nonresponse but is not under coverage.

(e) No. The margin of error only includes sampling variability.

Short Answer

Expert verified

(e) No. The margin of error only includes sampling variability.

Step by step solution

01

introduction

It is realized that the records that the margin of error catches the testing error.

02

explanation

As the sample size is 1234and margin of error is 3%the determination of grown-ups that don't claim telephones is a choice predisposition, not an examining error. While choice predisposition is not an examining error. In this way, the margin of error does exclude the way that a couple of grown-ups don't possess telephones.

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Most popular questions from this chapter

An online poll posed the following question:

It is now possible for school students to log on to Internet sites and download homework. Everything from book reports to doctoral dissertations can be downloaded free or for a fee. Do you believe that giving a student who is caught plagiarizing an F for their assignment is the right punishment?

Of the 20,125people who responded, 14,793clicked “Yes.” That’s 73.5%of the sample. Based on this sample, a 95%confidence interval for the percent of the population who would say “Yes” is 73.5% ±0.61. Which of the three inference conditions is violated? Why is this confidence interval worthless?

What critical value t⋆from Table B would you use for a 90%confidence interval for the population mean based on an SRS of size 77? If possible, use technology to find a more accurate value of t⋆. What advantage does the more accurate df provide?

The news article goes on to say: “The theoretical errors do not take into account a margin of additional error resulting from the various practical difficulties in taking any survey of public opinion.” List some of the “practical difficulties” that may cause errors in addition to the ±3percentage point margin of error. Pay particular attention to the news article’s description of the sampling method.

Starting a nightclub A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal, they will select an SRS of students and ask each respondent if he or she would patronize this type of establishment. They expect that about 70% of the student body would respond favorably. What sample size is required to obtain a 90% confidence interval with an approximate margin of error of 0.04? Show your work

Rating dorm food Latoya wants to estimate what proportion of the seniors at her high school like the cafeteria food. She interviews an SRS of 50of the 175 seniors living in the dormitory. She finds that 14 think the cafeteria food is good.
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