Based on a 2018 General Social Survey poll of 2,347 adult U.S. residents, a 95% confidence interval

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Based on a 2018 General Social Survey poll of 2,347 adult U.S. residents, a 95% confidence interval for the proportion of all U.S. adult residents that were born in the United States is 0.858 to 0.885. Based on these results, which of the statements A–D can we make (choose the best one)? 

A. The proportion of all U.S. adults that were born in the United States is definitely between 0.858 and 0.885. 

B. We are 95% confident that the sample proportion of those that responded to the survey that were born in the United States is between 0.858 and 0.885. 

C. If they repeated this process (randomly sampling 2,347 U.S. adult residents and finding the proportion of these that were born in the United States) were repeated many, many times, about 95% of the resulting confidence intervals would contain the population proportion of all U.S residents that were born in the United States. 

D. The methods used in this poll will result in getting 95% of all sample proportions between 0.858 and 0.885.

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Introduction To Statistical Investigations

ISBN: 9781119683452

2nd Edition

Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

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