Women Senators Let a population consist of these home states of all three female Republican senators in the 107th Congress of the United States: Maine, Maine, Texas.

Assuming that samples of size 2 are randomly selected from this population without replacement, list the different possible samples. Find the probability of each sample.

Also, for each sample, find the proportion of senators from Maine. For example, the sample of “Maine and Texas” results in a sample proportion of 1 2 (because one of the two Senators is from Maine). Find the mean of the sampling distribution and verify that it is equal to the population proportion of senators from Maine.

5-4 Beyond the Basics