32. What percent of the US Population are Senior Citizens? People age 65 and older constituted 13% of the population in 2010. Figure 3.10 shows sample proportions from two sampling distributions of the proportion of people aged 65 and older in the US. One distribution shows samples of size 100 and the other shows samples of size 1000. 0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25 Proportion Age 65+ (n=100) 0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25 Proportion Age 65+ (n=1000) Figure 3.10 Sampling distributions for n = 100 and n = 1000 (a) What is the center of both distributions? (b) What are the appropriate minimum and maximum values for: The distribution for samples of size 100: The distribution for samples of size 1000: (c) Estimate the standard error for: The distribution for samples of size 100: The distribution for samples of size 1000: (d) If one more sample were taken in each case. Would a sample proportion of 0.17 be surprising to see in: The distribution for samples of size 100: The distribution for samples of size 1000:
32. What percent of the US Population are Senior Citizens? People age 65 and older constituted 13% of the population in 2010. Figure 3.10 shows sample proportions from two sampling distributions of the proportion of people aged 65 and older in the US. One distribution shows samples of size 100 and the other shows samples of size 1000. 0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25 Proportion Age 65+ (n=100) 0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25 Proportion Age 65+ (n=1000) Figure 3.10 Sampling distributions for n = 100 and n = 1000 (a) What is the center of both distributions? (b) What are the appropriate minimum and maximum values for: The distribution for samples of size 100: The distribution for samples of size 1000: (c) Estimate the standard error for: The distribution for samples of size 100: The distribution for samples of size 1000: (d) If one more sample were taken in each case. Would a sample proportion of 0.17 be surprising to see in: The distribution for samples of size 100: The distribution for samples of size 1000:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![32. What percent of the US Population are Senior Citizens? People age 65 and older constituted 13%
of the population in 2010. Figure 3.10 shows sample proportions from two sampling distributions
of the proportion of people aged 65 and older in the US. One distribution shows samples of size
100 and the other shows samples of size 1000.
0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25
Proportion Age 65+ (n=100)
0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25
Proportion Age 65+ (n=1000)
Figure 3.10 Sampling distributions for n = 100 and
n = 1000
(a) What is the center of both distributions?
(b) What are the appropriate minimum and maximum values for:
The distribution for samples of size 100:
The distribution for samples of size 1000:
(c) Estimate the standard error for:
The distribution for samples of size 100:
The distribution for samples of size 1000:
(d) If one more sample were taken in each case. Would a sample proportion of 0.17 be surprising
to see in:
The distribution for samples of size 100:
The distribution for samples of size 1000:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfda259-7429-4717-b69c-7067c249bba0%2F31d19074-6e25-40f1-966b-e45445347f01%2Fpip4ntc_processed.png&w=3840&q=75)
Transcribed Image Text:32. What percent of the US Population are Senior Citizens? People age 65 and older constituted 13%
of the population in 2010. Figure 3.10 shows sample proportions from two sampling distributions
of the proportion of people aged 65 and older in the US. One distribution shows samples of size
100 and the other shows samples of size 1000.
0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25
Proportion Age 65+ (n=100)
0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25
Proportion Age 65+ (n=1000)
Figure 3.10 Sampling distributions for n = 100 and
n = 1000
(a) What is the center of both distributions?
(b) What are the appropriate minimum and maximum values for:
The distribution for samples of size 100:
The distribution for samples of size 1000:
(c) Estimate the standard error for:
The distribution for samples of size 100:
The distribution for samples of size 1000:
(d) If one more sample were taken in each case. Would a sample proportion of 0.17 be surprising
to see in:
The distribution for samples of size 100:
The distribution for samples of size 1000:
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