Suppose a 95% confidence interval was computed based on a sample of 320 trick-or-treaters. If the sample size were increased to 640, what impact would this have on the margin of error and width of the confidence interval?Both the margin of error and the width would increaseNeither the margin of error nor the width would be affected.Both the margin of error and the width would decreaseThe margin of error would decrease and the width would increase.The margin of error would increase and the width would decrease

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Answered: Suppose a 95% confidence interval was…

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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A researcher computed a 90% confidence interval for the proportion of students who smoke. If the researcher had instead used a 95% confidence interval, then the computed margin of error would have been smaller. True False
One researcher finds a 95% confidence interval for a prevalence of heart disease in a population as centered at 26.2 percent with margin of error 4.2 percent, and another finds a 90% confidence interval centered at 32.1 percent with margin of error 3.6 percent. Can both be accurate? Why or why not? Yes, because they have different levels of confidence. O No, because the results differ by too much. No, because they have different levels of confidence. Yes, because the confidence intervals overlap. No, because they have different margins of error.
A study was being done to estimate the proportion of students who receive financial aid. If the study would like to construct 90% confidence interval for the proportion of students receiving financial aid within 2%, what sample size would be needed? A previous study stated that 53% of students receive some form of financial aid.
An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Indian River county. The economist found that 2.4% of a random sample of 532 county residents were unemployed. Find three different confidence intervals for the true proportion of Indian River county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 98% confidence level, and one with a 99% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary A 90% confidence interval is given b= A 98% confidence interval is given by= A 99% confidence interval is given by=
An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Indian River county. The economist found that 2.4% of a random sample of 532 county residents were unemployed. Find three different confidence intervals for the true proportion of Indian River county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 98% confidence level, and one with a 99% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary. The margin of error fora 90% confidence interval is given by E= A 90% confidence interval is given by= The margin of error for a 98% confidence interval is given by E= A 98% confidence interval is given by The margin of error for a 99% confidence interval is given by E= A 99% confidence interval…
A high school is running a campaign against the over-use of technology in teens. The committee running the campaign decides to look at the difference in social media usage between teens and adults. They take a random sample of 200 teens in their city (Group 1) and find that 85% of them use social media, and then take another random sample of 180 adults in their city (Group 2) and find that 55% of them use social media. Find a 90% confidence interval for the difference in proportions. Enter the confidence interval
A researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For N = 18 participants with 2 or fewer negative experiences, the average well-being score was X = 42 with SS=398. For the N = 16 participants with 5 to 10 negative experiences the average score is X= 48.6 with SS = 370. Construct a 95% confidence interval for the difference between the population means for the two groups.
Come up with your own data for a problem that would ask for a 90% confidence interval utilizing Z. Clearly label your variables.
How do I solve the following problem?
Peggy constructed the 95 percent confidence interval (4.8,5.2)(4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy? A)Peggy’s claim is correct. B)Quincy’s claim is correct. C)Both Peggy’s claim and Quincy’s claim are correct. D)Neither Peggy’s claim nor Quincy’s claim is correct. E)There is not enough information to determine whether the claims are correct.
A poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____.
A university health services physician is concerned about how much sleep freshman are getting. She asked a simple random sample of 100 students if they got at least 8 hours of sleep the previous night. then she constructs a 90% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. Explain what would happen to the width of the interval if the confidence level were increased to 95%

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