**Analysis of Confidence Intervals in Polling****Context:**A city ballot includes a local initiative that would legalize gambling. This issue is under debate, and two different groups conduct polls to predict the outcome. The local newspaper finds that 46% of 1450 randomly selected voters plan to vote "yes." In contrast, a college Statistics class finds 45% of 200 randomly selected voters in favor. Both groups aim to create 95% confidence intervals. It is assumed that all voters know how they intend to vote and that a majority vote is needed for the initiative to pass.**Tasks:****a) Margin of Error Comparison:**Without calculating, it is noted that the Statistics class will have a larger margin of error due to the smaller sample size.**b) Confidence Interval Calculation:**- The confidence interval for the local newspaper is calculated as (43.4%, 48.6%).- The confidence interval for the college Statistics class is calculated as (38.1%, 51.9%).These intervals are rounded to one decimal place as needed.**c) Conclusion on Results:**The confidence interval obtained by the Statistics class suggests that the outcome is too close to call, given its wider range that crosses the 50% threshold. Thus, the group concludes the results are inconclusive regarding the majority requirement for passage.This exercise demonstrates how sample size affects the margin of error and the resulting confidence in predicting election outcomes.

Answered: Image /qna-images/answer/2f94caf6-9abe-4642-bc62-45ab02521641.jpg

Answered: A city ballot includes a local…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Telemarketers continue to attempt to reach consumers by calling land-line phone numbers.According to estimates from a national 2003 survey, based on face-to-face interviews in 16,677 households,approximately 58.2% of U.S. adults have both a landline in their residence and a cell phone, 2.8% have only cellphone service but no landline, and 1.6% have no telephone service at all. (a) Polling agencies won't call cell phone numbers because customers object to paying for suchcalls. What proportion of U.S. households can be reached by a landline call?(b) Are having a cell phone and having a landline independent?
A study considered the question, “Are you a registered voter?” Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 93 people were asked the voter registration question face-to-face. Seventy-nine respondents gave accurate answers. Another random sample of 83 people was asked the same question during a telephone interview. Seventy-four respondents gave accurate answers. Assume that the samples are representative of the general population. Test the claim that there is a difference in the proportion of accurate responses from face-to-face compared with telephone interviews. Use alpha=.05 What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?
A random sample of 70 observations produced a mean of 27.5 and a standard deviation of 3.26. Find a 90% confidence interval for < U < (b) Find a 95% confidence interval for < U < (c) Find a 99% confidence interval for < U <
As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC. The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night. A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate. 85 homes were watching CNN and NSNBC cable stations. At the 0.05 significant level, can we conclude that the guideline is still reasonable?
Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?
The PR team at Bruno conducts their hiring process in two stages. For applicants who are classified as A, B, and G in the first stage, the chances of getting hired full-time after the second stage are 74%, 43% and 26% respectively. If an applicant is not hired full-time, they are either put on a probation list, or rejected. Unselected applicants of all categories (A, B, and G) are half as likely to be put on the probation list as being rejected. During the first stage of the most recent hiring, 22% of the applicants were rated A, 39% were rated B, and the rest were rated G. If a randomly chosen applicant was rejected by three out of eight individual interviewers, what is the probability that they were rated A?
A construction company submitted a bid for a large, public construction project. The company’s management initially felt they had a 50-50 chance of getting the project. However, the department to which the bid was submitted subsequently requested additional information on the bid submitted by this company. Past experience indicates that for 75% of the successful bids but only for 40% of the unsuccessful bids the agency requested such additional information. Question: Given that the construction company was asked for additional information, what is the probability that it will get the project?
Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 300 voters finds that 147 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections.
Maddie conducts a study to see if listening to music helps students learn math. She surveys a random sample of 250 college sophomores who completed a math class within the past six months. She asks them to indicate how frequently they listened to music while studying math. The students also report their final grade in the math class at the end of the semester. Select the statement below that is false. There is no placebo in this study. Maddie conducted an observational study. A confounding variable could be how often the participants studied math. The population Maddie studied was 250 college sophomores.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS