People 65 years and older are the fastest growing segment of the US population, and constituted 13% of the population in 2010. Figure 3.10 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.

(a) What is the center of both distributions? 

(b) What is the approximate minimum and maximum of each distribution? 

(c) Give a rough estimate of the standard error in each case. 

(d) 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?  

Transcribed Image Text:

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) h 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