### Survey on Democratic ValuesA recent survey conducted on a sample of 800 randomly selected adults in a specific country revealed that 82% of the participants believe that protecting the rights of individuals with unpopular views is a crucial component of a robust democracy.**Problem:**b. Calculate a 95% confidence interval for the proportion of adults in the country who believe that safeguarding the rights of those with unpopular opinions is vital for a strong democracy.In this exercise, students are expected to utilize their knowledge of statistical methods to determine the confidence interval, ensuring they consider the sample proportion and the margin of error associated with the given confidence level.

sample size(n)=800sample proportion()=0.82Confidence level=95%

Answered: A survey of 800 randomly selected…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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in a survey of 692 lesbian, gay, bisexual, or transgender U.S adults 378 said that they consider themselves bisexual. Construct a 90% confidence interval for the population proportion of lesbian, gay, bisexual, or transgender U.S adults who consider themselves bisexual.
24. Job Interviews In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. a. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. c. Repeat part (b) using a confidence level of 80%. d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?
2. According to the website Rotten Tomatoes, 94% of people who watched the Netflix show Stranger Things liked it. Since UR students tend to be scientifically minded, we hypothesize that less than 94% of UR students like the show. Out of 219 surveyed UR students, 198 indicated they like Stranger Things. Use the built in prop.test() function to: a. Construct a 90% confidence interval for the proportion of UR students who like Stranger Things. b. Test at the a=0.10 significance level whether the proportion of students who like Stranger Things is LESS THAN 0.94. What conclusion do you reach?
At one large college, 660 out of the 1500 students surveyed said they plan to take another science class.Find the 95% confidence interval for the proportion of students that said they plan to take another science class.
A student polls his school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 600 students and finds that 480 are against the new legislation. Compute a 95% confidence interval for the true percent of students who are against the new legislation, and interpret the confidence interval.
In 2003, an organization surveyed 1,508 adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the 1,508 adult Americans surveyed, 1,086 stated the United States made the right decision. In 2008, the organization asked the same question of 1,508 adult Americans and found that 573 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, p2003−p2008.
A study of 30 college students showed that 25 are binge watching series. Find a 95% confidence interval for the proportion of students that are binge watching series.
A national polling organization conducted a survey asking people whether they would consider buying an electric car if petrol prices continue to rise. In the low-income sample of 200 people asked, 175 said they would not buy an electric car no matter how high petrol prices rise. In the high-income sample of 200 people asked, 127 responded the same. The 95% confidence interval for the difference in proportion of low income people and high income people who would never consider buying an electric car no matter how high the price of petrol got (rounded off to three decimals) is: A. [0.173 : 0.307] B. [0.145 : 0.335] C. [0.159 : 0.321] D. [0.172 : 0.308]
A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.
Melissa wants to estimate the proportion of adults in the U.S. who own a gun. To do so, she surveys 45 adults, and finds that 14 own a gun. Construct a 95% confidence interval to estimate the proportion of all adults in the U.S. who own a gun. Write a conclusion sentence.
A survey collected data on attitudes toward the quality of customer service in retail stores. The survey found that 270 of the 750 American adults sampled felt that customer service is better today than it was two years ago. We wish to develop a 94% confidence interval for the proportion of American adults who feel customer service is better today than it was two years ago. What is the population? A) the 750 American adults sampled B) customer service representatives C) all American adults
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Quality of Management Reputation of Company Excellent Good Fair Excellent 40 25 5 Good 35 28 10 Fair 25 17 15 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. H0: Quality of management is not independent of the reputation of the company.Ha: Quality of management is independent of the reputation of the company. H0: Quality of management is independent of the reputation of the company.Ha: Quality of management is not independent of the…

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