You may need to use the appropriate appendix table or technology to answer this question.A research center has conducted extensive research on social media usage. One finding was that 74% of adults aged 18 to 24 use Snapchat. Another finding was that 44% of those aged 18 to24 use Twitter. Assume the sample size associated with both findings is 400.(a) Develop a 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat. (Round your answers to four decimal places.)to(b) Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter. (Round your answers to four decimal places.)to(c) In which case, part (a) or part (b), is the margin of error larger? Explain why.The margin of error is larger in |---Select--- ✓ for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is ---Select--- ✓than the sample proportion of adults aged18 to 24 who use Snapchat. Therefore, the standard error of the former is ---Select--- ✓than the standard error of the latter. In addition, zZa/2for a 99% confidence interval isZα/2---Select--- VZfor a 95% confidence interval.

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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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You may need to use the appropriate appendix table or technology to answer this question. A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 228 of 400 executives answered Yes, while in a previous year survey, 176 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time. (Use current year previous year. Round your answer to four decimal places.) to What is your interpretation of the interval estimate? The 95% confidence interval ---Select--- ✓zero. This suggests that the proportion of executives who are predicting an increase in full- time jobs for the current year is ---Select--- ✓ than the proportion of executives who were predicting an increase in full-time jobs for the…
A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and eight of your friends decide to try the program and see what happens. Use the table below to construct an 85%85% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 42 33 41 54 31 50 30 48 41 31 49 52 34 54 48 49 39 48
The National Association of Colleges and Employers sponsors the Graduating Student and Alumni Survey.Part of the survey gauges student optimism in landing a job after graduation. According to one year’s surveyresults, published in American Demographics, among the 1218 respondents, 733 said that they expecteddifficulty finding a job. Construct a 90% confidence interval for the proportion of students who expecteddifficulty finding a job. Interpret your result.
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?
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
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.
Find a 95% confidence interval for the percentage of stocks with a gain.
You may need to use the appropriate appendix table or technology to answer this question. A research center has conducted extensive research on social media usage. One finding was that 71% of adults aged 18 to 24 use Snapchat. Another finding was that 43% of those aged 18 to 24 use Twitter. Assume the sample size associated with both findings is 600. (a) Develop a 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat. (Round your answers to four decimal places.) ___ to ___ (b) Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter. (Round your answers to four decimal places.) ___ to ___ (c) In which case, part (a) or part (b), is the margin of error larger? Explain why. The margin of error is larger in ___ for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is ___ than the sample proportion of adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is ___…
In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $41 and standard deviation of $7. Construct a confidence interval at a 80% confidence level. Give your answers to one decimal place. Interpret your confidence interval in the context of this problem.
In a survey, 19 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $49 and standard deviation of $2. Construct a confidence interval at a 99% confidence level. Give your answers to one decimal place. Interpret your confidence interval in the context of this problem.
Part 3: Putting the Pieces Together Some of the following questions might be more challenging, but we want you to wrestle through them and ask for clarification along the way. We hope that, ultimately, working through these problems will strengthen your understanding of the big ideas behind confidence intervals. 10. A researcher plans to survey a random sample of undergraduate students in order estimate the proportion of all undergraduate students who plan to apply to graduate school, and she will construct a confidence interval based on the data she gathers. Which one of the following combinations of sample size and confidence level will result in the most precise confidence interval? A.n= 500, confidence level = 95% B. n = 500, confidence level = 90% c.n= 1000, confidence level = 99% D. n 1000, confidence level = 90% E.n=200, confidence level = 99% 11. What proportion of adults are afraid of spiders? To estimate this unknown population proportion, a researcher gathers a random sample…

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