According to a survey conducted by Pew Research Center in June 2009, 44% of people aged 18 to 29 years said that religion is very important to them. Suppose this result is based on a sample of 1000 people aged 18 to 29 years. (a) What is the point estimate of the corresponding population proportion? (b) Find, with a 99% confidence level, the percentage of all people aged 18 to 29 years who will say that religion is very important to them. What is the margin of error of this estimate?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to a survey conducted by Pew Research Center in June 2009, 44% of people aged
18 to 29 years said that religion is very important to them. Suppose this result is based on a
sample of 1000 people aged 18 to 29 years.
(a)
(b)
What is the point estimate of the corresponding population proportion?
Find, with a 99% confidence level, the percentage of all people aged 18 to 29 years
who will say that religion is very important to them. What is the margin of error of
this estimate?
Transcribed Image Text:According to a survey conducted by Pew Research Center in June 2009, 44% of people aged 18 to 29 years said that religion is very important to them. Suppose this result is based on a sample of 1000 people aged 18 to 29 years. (a) (b) What is the point estimate of the corresponding population proportion? Find, with a 99% confidence level, the percentage of all people aged 18 to 29 years who will say that religion is very important to them. What is the margin of error of this estimate?
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