Question
What Percent of the US Population Are Senior Citizens? People65 years and older are the fastest growing segment of the US population, and constituted13 %
What Percent of the US Population Are Senior Citizens?
People65
years and older are the fastest growing segment of the US population, and constituted13
%
of the population in 2010.1The figure below shows sample proportions from two sampling distributions of the proportion65
years and older in the US: One shows samples of size100
, and the other shows samples of size1000
.
(a) What is the center of both distributions?
Round your answers to two decimal places.
Center forn
=
100
:
Center forn
=
1000
:
(b) What is the approximate minimum and maximum of each distribution?
Round your answers to two decimal places.
For then
=
100
distribution:
minimum
maximum
For then
=
100
0
distribution:
minimum
maximum
(c) Give a rough estimate of the standard error in each case.
Round your answers to three decimal places.
Standard error for then
=
100
distribution
Standard error for then
=
100
0
distribution
(d) Suppose you take one more sample in each case. Would a sample proportion of0.17
(that is,17
%
senior citizens in the sample) be surprising to see from a sample of size100
?
YesNo
Would it be surprising from a sample of size100
0
?
YesNo
1www.census.gov.
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