The Center for the Study of the American Electorate indicated that 64% of the voting-age voters cast ballots in the 2008 presidential election. It also indicated in the west, 34.6% of voting-age voters voted for a Democrat as a Representative, an increase from 30.8 % in 2004. A start-up company in San Jose, California, has 10 employees.
a. How many of the employees would you expect to have voted for a Democrat as a Representative?
b. All of the employees indicated that they voted in the 2008 presidential election. Determine the probability of this assuming they followed the national trend.
c. Eight of the employees voted for a Democratic Representative. Determine the probability that at least 8 of the employees would vote for the Democrat if they followed the national trend.
d. Based on your calculations in parts b and c, do the employees reflect the national trend? Support your answer with statistical calculations and reasoning.