A researcher wishes to be 95% confidence that her estimate of the trueproportion of individuals who travel overseas is within 4% of the trueproportion.Find the sample size necessary if in a prior study, a sample of 500 peopleshowed that 200 traveled overseas last year.0 576O None of these answersO 577O 601

we are given that , confidence interval = 95% true proportion E=4% =0.04 we are given sample of…

Answered: A researcher wishes to be 95%…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A researcher wanted to estimate the proportion of undergraduate college students (18– 29 years) with access, so she randomly sampled 195 undergraduates and found that 175 had access. Estimate the true proportion with 95% confidence. Round intermediate answers to five decimal places. Round your final answer to one decimal place.
H 2
Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.06 margin of error, use confidence level of 90%, and use results from a prior poll suggesting that 14% of adults have consulted fortune tellers. n = (Round up to the nearest integer.)
A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 95% confident that the estimate is within 0.08 of the true proportion of residents who favor the construction of the nuclear power plant?
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
A marketing manager must decide on the size of the survey sample to be used in order to estimate the proportion of customers who are aware of her brand. She wishes to estimate this proportion to within 7 percentage points with 95% confidence. If the manager guesses that the proportion of aware customers is roughly 21%, what is the size of the sample that must be used? 131 ? CIlowerbound .2659 CIupperbound .314 Assume that 4700 customers were sampled, and that the sample proportion of aware customers was found to be 29%. Construct a 95% confidence interval for the population proportion of aware customers. X 0% ? × 0% ? X 0%
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. (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 p̂ will be within a distance of 0.06 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 18% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.)phone calls
n a recent poll, 210 people were asked if they liked dogs, and 42% said they did. Find the margin of error of this poll, at the 99% confidence level.E=Give your answer to three decimals
It is desired to estimate the proportion of cannabis users at a university. What is the sample size required to if we wish to have a 95% confidence in the interval and an error of 10%? 385 68 10 97
An epidemiologist wants to estimate the proportion of residents in her city that carry the Hepatatis A virus. It is thought that the proportion is approximately 31%. How large a sample of residents should be taken to estimate the proportion who carry the Hepatitis A virus to within 10 percentage points with 98% confidence?
assume that a sample is used to estimate a population proportion p. find the margin of error E that corresponds to the given statistics and confidence level. 98% confidence; the sample size is 730, of which 30% are successes
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