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1) Using the data from the American Community Survey (IPUMS), the Pew Research Center reported that 32.1% of 18- to 34-year-olds was living with their parents in their parents' home in 2014. For the first time in recorded history, this was the most common living arrangement for this age group. What percentage of 18- to 34-year-olds is living at home with their parents this year? To answer this question, suppose that this year researchers conduct another survey with a random sample of 1,100 adults in this age group. Suppose that 35% are living at home with their parents. Assuming that the variability in random samples will be the same as in the 2014 study, find the 95% confidence interval for this year and interpretit. a) Verify that the conditions for the use of the normal model are met based on the Pew Research Center study. b) Calculate the standard error based onthe 2014 study. c) Find the 95% confidence interval for this year and represent it as a line segment. d) Interpret your 95% confidence interval.

1) Using the data from the American Community Survey (IPUMS), the Pew Research Center reported that 32.1% of 18- to 34-year-olds was living with their parents in their parents' home in 2014. For the first time in recorded history, this was the most common living arrangement for this age group. What percentage of 18- to 34-year-olds is living at home with their parents this year? To answer this question, suppose that this year researchers conduct another survey with a random sample of 1,100 adults in this age group. Suppose that 35% are living at home with their parents. Assuming that the variability in random samples will be the same as in the 2014 study, find the 95% confidence interval for this year and interpretit. a) Verify that the conditions for the use of the normal model are met based on the Pew Research Center study. b) Calculate the standard error based onthe 2014 study. c) Find the 95% confidence interval for this year and represent it as a line segment. d) Interpret your 95% confidence interval.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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1) Using the data from the American Community Survey (IPUMS), the Pew Research Center reported that 32.1% of 18- to 34-year-olds was living with their parents in their parents' home in 2014. For the first time in recorded history, this was the most common living arrangement for this age group. What percentage of 18- to 34-year-olds is living at home with their parents this year? To answer this question, suppose that this year researchers conduct another survey with a random sample of 1,100 adults in this age group. Suppose that 35% are living at home with their parents. Assuming that the variability in random samples will be the same as in the 2014 study, find the 95% confidence interval for this year and interpretit. a) Verify that the conditions for the use of the normal model are met based on the Pew Research Center study. b) Calculate the standard error based onthe 2014 study. c) Find the 95% confidence interval for this year and represent it as a line segment. d) Interpret your 95% confidence interval.
Transcribed Image Text:1) Using the data from the American Community Survey (IPUMS), the Pew Research Center reported that 32.1% of 18- to 34-year-olds was living with their parents in their parents' home in 2014. For the first time in recorded history, this was the most common living arrangement for this age group. What percentage of 18- to 34-year-olds is living at home with their parents this year? To answer this question, suppose that this year researchers conduct another survey with a random sample of 1,100 adults in this age group. Suppose that 35% are living at home with their parents. Assuming that the variability in random samples will be the same as in the 2014 study, find the 95% confidence interval for this year and interpretit. a) Verify that the conditions for the use of the normal model are met based on the Pew Research Center study. b) Calculate the standard error based onthe 2014 study. c) Find the 95% confidence interval for this year and represent it as a line segment. d) Interpret your 95% confidence interval.
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