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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?

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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