**Sample Size Estimation for Survey on Wi-Fi Network Usage**Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05? Calculate the required sample size first using 0.31 as a preliminary estimate of \( p \). (Round your answer up to the nearest integer.)- **Preliminary Estimate Calculation:** - Sample Size: **329** ✅Calculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest integer.)- **Conservative Value Calculation:** - Sample Size: **384** ✅**Comparison of Sample Sizes:**How do the two sample sizes compare?The sample size computed using the preliminary estimate is **smaller than** ✅ the sample size computed using the conservative value.**Recommended Sample Size for the Study:**What sample size would you recommend for this study? (Round your sample size up to the nearest integer.)- Recommended Sample Size: **384** ✅ - This sample size should be used for the study because it will guarantee a margin of error of no greater than 0.05. The other sample size computed will only guarantee a margin of error no greater than 0.05 if \( p < 0.31 \) ✅ or if \( p > 0.31 \) ❌.

The preliminary estimate is, p=31%=0.31The defined margin of error is, E=0.05Since the level of…

Answered: Data from a representative sample were…

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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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. LAUSE SALT (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p will be within distance of 0.07 from p? (Round your answer up to the nearest whole number.) phone calls (b) A report states that businesspeople can be reached by a single phone call approximately 23% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) phone calls
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 26%. You would like to be 95% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required?
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Data from a representative sample were used to estimate that 33% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.04? Calculate the required sample size first using 0.33 as a preliminary estimate of p. (Round your answer up to the nearest integer.) The sample size of _____ should be used for this study because it will guarantee a margin of error of no greater than 0.04. The other sample size computed will only guarantee a margin of error no greater than 0.04 if p < _____ or if p > ______ .
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