Suppose in 2011 a survey of 1064 workers in the city of Calgary found that 184 used public transport to commute to work.Part (a) Estimate the percentage of workers in Calgary who use public transport to commute to work. Give your answer in percentages (without the percentage sign, and to four significant digits).Part (b) Find a 95% confidence interval for the percentage of workers in Calgary using public transport to commute to work. Use the sample proportion in your estimate of the standard error. Provide the upper and lowerbounds for your confidence interval. Give your answer in percentages (without the percentage sign, and to four significant digits) (preview answers

From the provided information, Sample size (n) = 1064 From which 184 used public transport to…

Answered: Suppose in 2011 a survey of 1064…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Find level of significance for 95% confidence level.
Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 feel more enriched as a result of her class. Construct a 95% confidence interval for the true mean or proportion. Round to the nearest hundredth (2 decimal places). ( , )
Describe the construction and interpretation of confidence interval estimates for the mean and the proportion.
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
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?
In a sample of 500 Canadians, it was found that 400 people preferred apple products. In a sample of 700 Americans it was found that 600 preferred apple products. Is the proportion Canadians who prefer apple products less than Americans. 1. Construct 95% confidence interval for difference of proportions. 2. From the confidence interval, do you think that the proportion of Canadians who prefer apple products is different from Americans.
A newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 41% would like more discussion about the family's financial situation, 11% would like to talk about school, and 43% would like to talk about religion. These and other percentages were based on a national sampling of 393 teenagers. Write the margin of error for a 90% confidence interval that estimates the proportion of all teenagers who want more family discussions about school. Round to the nearest thousandth.
1. Explain how to find a confidence interval for a population proportion using StatCrunch. 2. Explain how to find the margin of error given a confidence interval for a population proportion.
A. Suppose we wish to make an estimate of the proportion of the population that has ever been arrested. We take a random sample of 500 people. In this sample, 10% of the respondents report having ever been arrested. Construct a 95% confidence interval for the proportion of people in the population who have been arrested. 2. Interpret, in words, the meaning of this interval.
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The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 colleges students was used in this study. 1. Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. 2. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. 3. What happens to the margin of error as the confidence is increased from 95% to 99%? Explain why this makes sense. 4. Suppose the NCES would like to re-do their study. If they want a 95% confidence interval with a margin of error for the population proportion within ±0.03, determine the sample size they should use. Use , the sample proportion from their previous study.

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