28. President Bush proposed the elimination of taxes on dividends paid to shareholders on the grounds that they result in double taxation. The earnings used to pay dividends are already taxed to the corporation. A survey on this issue revealed that 47% of Americans favor the proposal. By political party, 64% of Republicans and 29% of Democrats favor the proposal

(Investor’s Business Daily, January 13, 2003). Suppose a group of 250 Americans gather to hear a speech about the proposal.

a. What is the probability at least half of the group is in favor of the proposal?

b. You later find out 150 Republicans and 100 Democrats are present. Now what is your estimate of the expected number in favor of the proposal?

c. Now that you know the composition of the group, do you expect a speaker in favor of the proposal will be better received than one against the proposal?