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(a) If researchers decide on a 4.2% margin of error for a 95% confidence interval. What sample size should they pursue? If researchers decide on a 2.8% margin of error for a 99% confidence interval. What sample size should they pursue?

(a) If researchers decide on a 4.2% margin of error for a 95% confidence interval. What sample size should they pursue? If researchers decide on a 2.8% margin of error for a 99% confidence interval. What sample size should they pursue?

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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Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the sample size. Since they haven't run the study yet it is common practice to approximate the sample proportion as 50% since this is the worst case scenario. Recall that the standard eror for a single proportion is SE = P(1-p) Note: The calculation to find the sample size will likely give a decimal answer so be sure to round appropriately so that the actual margin of error will be less than what the researchers want. (a) If researchers decide on a 4.2% margin of error for a 95% confidence interval. What sample size should they pursue? (b) If researchers decide on a 2.8% margin of error for a 99% confidence interval. What sample size should they pursue?
Transcribed Image Text:Before conducting a study it is often a good idea to decide on the necessary sample size. To do so, statisticians often first decide on an acceptable margin of error and then work backward to the sample size. Since they haven't run the study yet it is common practice to approximate the sample proportion as 50% since this is the worst case scenario. Recall that the standard eror for a single proportion is SE = P(1-p) Note: The calculation to find the sample size will likely give a decimal answer so be sure to round appropriately so that the actual margin of error will be less than what the researchers want. (a) If researchers decide on a 4.2% margin of error for a 95% confidence interval. What sample size should they pursue? (b) If researchers decide on a 2.8% margin of error for a 99% confidence interval. What sample size should they pursue?
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