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Asked Mar 7, 2020
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What Percent of the US Population Are Senior Citizens?
People 65 years and older are the fastest growing segment of the US population, and constituted 13% of the population in 2010.17 Figure 3.9 shows sample proportions from two sampling distributions of the proportion 65 years and older in the US: One shows samples of size 100, and the other shows samples of size 1000.
Suppose you take one more sample in each case. Would a sample proportion of 0.17 (that is, 17% senior citizens in the sample) be surprising to see from a sample of size 100? Would it be surprising from a sample 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)
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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)

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Expert Answer

Step 1

From the histogram, it is observed that the distribution is centered at 0.13.

From the histogram of sample size 100, it is observed that the sample proportions of 0.17 occurr...

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