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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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