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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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 of data and constructs a 95% confidence interval. The interval ends up being from 0.18 to 0.32. From this information, we know the sample proportion would have to be and the margin of error would have to be 12. Gary constructs a 90% confidence interval in order to estimate the proportion of consumers who regularly purchase their groceries online. The interval ends up between from 0.355 to 0.405. Using the same sample data, Ralph constructs a 95% confidence interval and obtains an interval from 0.365 to 0.395. If we assume no calculation errors were made when the 90% confidence interval was constructed, why must Ralph's interval be incorrect?
Transcribed Image Text: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 of data and constructs a 95% confidence interval. The interval ends up being from 0.18 to 0.32. From this information, we know the sample proportion would have to be and the margin of error would have to be 12. Gary constructs a 90% confidence interval in order to estimate the proportion of consumers who regularly purchase their groceries online. The interval ends up between from 0.355 to 0.405. Using the same sample data, Ralph constructs a 95% confidence interval and obtains an interval from 0.365 to 0.395. If we assume no calculation errors were made when the 90% confidence interval was constructed, why must Ralph's interval be incorrect?
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