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 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 0.05?Calculate the required sample size first using 0.31 as a preliminary estimate of p. (Round your answer up to the nearest integer.)329USE SALTCalculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest integer.)384How do the two sample sizes compare?The sample size computed using the preliminary estimate is smaller than ✓What sample size would you recommend for this study? (Round your sample size up to the nearest integer.)The sample size of 384should be used for this study because it will guarantee a margin of error of no greater than 0.05. The other sample size computed will only guarantee amargin of error no greater than 0.05 if p < 0.31or if p > 0.31xthe sample size computed using the conservative value.

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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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required?
Based on historical data at Portland State University, we believe that 44% of first year students do not visit their advisors regularly. For this year, you would like to obtain a new sample to estimate the proportion of first year students who do not visit their advisors regularly. You would like to be 99% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. Give answer in whole people. n=
In a recent year, the Better Business Bureau settled 73% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is 0.73, as mentioned above. Suppose your sample size is 113. DO NOT USE THE EXCEL FORMULA. CALCULATE BY HAND OR WITH A CALCULATOR. 1. What is the probability that the sample proportion will be within 4 percent of the population proportion?
A random sample of size 1,000 is taken from a population where the population proportion p = .02. What is the mean of the sample proportions?
You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately 69% of the population have the genetic marker. You would like to be 95% confident that your estimate is within 5% of the true population proportion. Do not round mid-calculation and be careful when you round your answer. How large of a sample size is required? n=
In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.30. Use the given preliminary estimate to determine the sample size required to estimate this proportion with a margin of error of 0.05.
You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering. The proportion of customers that receive their packages within two days of ordering are given below. 0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 Explain why all of the sample proportions are not the same.
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=22%p∗=22%. You would like to be 95% confident that your esimate is within 4% of the true population proportion. How large of sample size is required?
Statistics Canada conducts an annual survey to estimate the proportion of Canadians aged 20 - 24 years of age who are smokers. The most recent application of the Canadian Tobacco Monitoring Survey involved a random sample of n=496 Canadians aged 20 to 24 years of age. Each was asked for the smoking status. The number of 20 to 24 year-olds sampled who indicated they were smokers was 333.(a) Compute the sample proportion. Use at least four decimals in your answer.p^= __________ (b) Using your answer in (a), find a 97% confidence interval for pnow, the current proportion of 20 to 24 year old Canadians who are smokers, by Bootstrapping 1000 samples. Use the seed 3994 to ensure that R-Studio "randomly" samples the same "random" samples as this question will expect.You can do this by including the code, you can copy it into your R-Studio to bootstrap your samples.RNGkind(sample.kind = "Rejection");set.seed(3994);B=do(1000) * mean(resample(c(rep(1,333),rep(0,496-333)), 496));Use at least four…
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