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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

Refer to Exercise 12. As Gallup indicates, the 3percentage point margin of error for this poll includes only sampling variability (what they call 鈥渟ampling error鈥�). What other potential sources of error (Gallup calls these 鈥渘on-sampling errors鈥�) could affect the accuracy of the59% estimate?

Price cuts (4.2) Stores advertise price reductions to attract customers. What type of price cut is most attractive? Experiments with more than one factor allow insight into interactions between the factors. A study of the attractiveness of advertised price discounts had two factors: percent of all foods on sale (25%,50%,75%,or100%)and whether the discount was stated precisely (as in, for example, 鈥�60%off鈥�) or as a range (as in 鈥�40%to 70%off鈥�). Subjects rated the attractiveness of the sale on a scale of 1 to 7. (a) Describe a completely randomized design using 200student subjects. (b) Explain how you would use the partial table of random digits below to assign subjects to treatment groups. Then use your method to select the first 3subjects for one of the treatment groups. Show your work clearly on your paper.

(c) The figure below shows the mean ratings for the eight treatments formed from the two factors. Based on these results, write a careful description of how percent on sale and precise discount versus range of discounts influence the attractiveness of a sale.

Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student-athletes concerning their gambling-related behaviors.17Of the 5594Division I male athletes in the survey, 3547reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a 1% margin of error.

(a) The con铿乨ence level was not stated in the report. Use what you have learned to 铿乶d the con铿乨ence level, assuming that the NCAA took an SRS.

(b) The study was designed to protect the anonymity of the student-athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?

65. Critical value What critical valuet*from Table Bwould you use for a 99%confidence interval for the population mean based on an SRS of size 58? If possible, use technology to find a more accurate value of t*. What advantage does the more accurate dfprovide?

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% con铿乨ence interval with an approximate margin of error of 0.04? Show your work
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