/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 4 The school board in a certain sc... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 4 (page 799)

The school board in a certain school district obtained a random sample of 200residents and asked if they were in favor of raising property taxes to fund the hiring of more statistics teachers. The resulting confidence interval. for the true proportion of residents in favor of raising taxes was (0.183,0.257). The margin of error for this confidence interval is

(a) 0.037

(b) 0.183

c) 0.220

(d) 0.257

(e) 0.740

Short Answer

Expert verified

The margin of error for this confidence interval is (a)0.037

Step by step solution

01

Given information

We are given that a school board selects a random sample and asked if they were in favor of raising property taxes to fund the hiring of more statistics teachers.

We need to find the margin of error for this confidence interval is.

02

Simplify

As given in the question,

The resulting confidence interval. for the true proportion of residents in favor of raising taxes was 0.183,0.257

As we know,

The resulting confidence interval :p^-MOE,p^+MOE

where,

MOE=margin of error

p^=true proportion

According to formula,

p^+MOE=0.257p^-MOE=0.183p^+MOE-p^-MOE=2脳MOEMOE=0.257-0.1832=0.037

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Color words (4.2)Let鈥檚 review the design of the study.

(a) Explain why this was an experiment and not an observational study.

(b) Did Mr. Starnes use a completely randomized design or a randomized block design? Why do you think he chose this experimental design?

(c) Explain the purpose of the random assignment in the context of the study. The data from Mr. Starnes鈥檚 experiment are shown below. For each subject, the time to perform the two tasks is given to the nearest second.

Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the University of Washington student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.

From the chi-square test performed in this study, we may conclude that

(a) there is convincing evidence of an association between the gender of an individual participating in the event and development of a rash.

(b) mud wrestling causes a rash, especially for women.

(c) there is absolutely no evidence of any relation between the gender of an individual participating in the event and the subsequent development of a rash.

(d) development of a rash is a real possibility if you participate in mud wrestling, especially if you do so on a regular basis.

(e) the gender of the individual participating in the event and the development of a rash are independent.

Do hummingbirds prefer store-bought food made from concentrate or a simple mixture of sugar and water? To find out, a researcher obtains 10identical hummingbird feeders and fills 5, chosen at random, with store-bought food from concentrate and the other 5with a mixture of sugar and water. The feeders are then randomly assigned to10possible hanging locations in the researcher鈥檚 yard. Which inference procedure should you use to test whether hummingbirds show a preference for store-bought food based on amount consumed?

(a) A one-sample z test for a proportion .

(b) A two-sample z test for a proportion .

(c) A chi-square test for association/independence .

(d) A two-sample t test .

(e) A paired t test .

Oil and residuals Exercise 59 on page 193 (Chapter 3) examined data on the depth of small defects in the Trans-Alaska Oil Pipeline. Researchers compared the results of measurements on 100 defects made in the field with measurements of the same defects made in the laboratory. The figure below shows a residual plot for the least-squares regression line based on these data. Are the conditions for performing inference about the slope尾 of the population regression line met? Justify your answer.

Confidence intervals and tests for these data use the t distribution with degrees of freedom

(a) 9.29.

(c) 15.

(e) 30.

(b) 14.

(d) 16.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.