Women Senators Let a population consist of the 10 Democrats and 3 Republicans who are women senators in the 107th Congress of the United States.

a. Develop a procedure for randomly selecting (with replacement) a sample of size 5 from the population of 10 Democrats and 3 Republicans, then select such a sample and list the results.

b. Find the proportion of Democrats in the sample from part (a).

c. Is the proportion from part

(b) a statistic or a parameter?

d. Does the sample proportion from part

(b) equal the population proportion of Democrats? Can any random sample of size 5 result in a sample proportion that is equal to the population proportion?

e. Assume that all different possible samples of size 5 are listed, and the sample proportion is found for each of them. What can be concluded about the value of the mean of those sample proportions?