Sampling in the states. An agency of the federal government plans to take an SRS of residents in each state to estimate the proportion of owners of real estate in each state’s population. The populations of the states range from about 515,000 people in Wyoming to about 36.5 million in California.

(a) Will the variability of the sample proportion change from state to state if an SRS of size 2000 is taken in each state? Explain your answer.

(b) Will the variability of the sample proportion change from state to state if an SRS of 1/10 of 1% (0.001) of the state’s population is taken in each state?

Explain your answer.

AppendixLO1