In 2010, an online security firm estimated that 64% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion to within a margin of error of 0.04 with 95% confidence. (a) Using 0.64 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.04? (Round your answer up to the nearest whole number.) Calculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest whole number.) How do the two sample sizes compare? The sample size calculated using 0.64 is --Select--- - the sample size calculated using the conservative estimate. (b) What sample size would you recommend? Justify your answer. The --Select-- v should be used for this study because it will guarantee a margin of error of no greater than 0.04. The other sample size calculated will only guarantee a margin of error no greater than 0.04 if p > or if p <

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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In 2010, an online security firm estimated that 64% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry
out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this
proportion to within a margin of error of 0.04 with 95% confidence.
(a) Using 0.64 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.04? (Round your answer up to the nearest
whole number.)
Calculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest whole number.)
How do the two sample sizes compare?
The sample size calculated using 0.64 is --Select---
- the sample size calculated using the conservative estimate.
(b) What sample size would you recommend? Justify your answer.
The --Select--
v should be used for this study because it will guarantee a margin of error of no greater than 0.04. The other sample size calculated will only
guarantee a margin of error no greater than 0.04 if p >
or if p <
Transcribed Image Text:In 2010, an online security firm estimated that 64% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion to within a margin of error of 0.04 with 95% confidence. (a) Using 0.64 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.04? (Round your answer up to the nearest whole number.) Calculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest whole number.) How do the two sample sizes compare? The sample size calculated using 0.64 is --Select--- - the sample size calculated using the conservative estimate. (b) What sample size would you recommend? Justify your answer. The --Select-- v should be used for this study because it will guarantee a margin of error of no greater than 0.04. The other sample size calculated will only guarantee a margin of error no greater than 0.04 if p > or if p <
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