We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adultresidents sampled, 150 had kids. Based on this, construct a 90% confidence interval for the proportion p ofadult residents who are parents in this county.Express your answer in tri-inequality form. Give your answers as decimals, to three places.pExpress the same answer using the point estimate and margin of error. Giveyour answers as decimals, to three places.KP=Submit Question

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Answered: We wish to estimate what percent of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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What is meant by the sample space of an experiment?
A students wants to estimate the proportion of professors who drive pickup trucks. She surveys 250 professors from across the country and uses the results to construct a 90% confidence interval estimate of p, the proportion of all professors who drive pickup trucks. If she were to do this with a total of 118 different sample of 250 professors, yielding 118 different 90% confidence interval estimates of p, approximately how many intervals would contain the true value of p?
Wisconsin Public Radio wants to duplicate a survey conducted in 2011 that found that 68% of adults living in Wisconsin felt that the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%?
A market research business is interested in testing the hypothesis that the proportion of students who own a car is smaller for the local university campus than for the local private college. They interviewed 240 students from the university and 250 students from the private college. The number of students who owned a car was 162 at the university and 183 at the private college. Construct a 99% confidence interval for the difference in the true proportions of students who own cars at the two campuses (rounded off to three decimals).
We wish to estimate what percent of adult residents in a certain county are parents. Out of 500 adult residents sampled, 245 had kids. Based on this, construct a 99% confidence interval for the proportion of adult residents who are parents in this county. If n = 560 and ˆpp^ = 0.6, construct a 95% confidence interval.
An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Michigan who are proficient in reading. Estimate the sample size needed to conduct this survey and assume that there there is no information available to be used from a previous study. Use a margin of error of 3%. What is the sample size: _________
A collage professor would like to estimate the proportion of students who pull an *all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who have pulled an all-nighter to be 0.48 to 0.62. If the professor had randomly selected 50 students rather than 100 students, what effect would this have had on the width of the interval? O it would have doubled. O It would have been cut in half. O it would have remained the same. O it would have been larger, but it would not have doubled.
A sociologist wants to construct a 95% confidence interval for the proportion of children aged s-10 living in New York who own a smartphone. A survey by the National Consumers League estimated the nationwide proportion to be 0.29. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
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