Assignment:
The house of representatives has a very controversial bill that will be going to vote. To help formulate his strategy on how to get the bill passed, the chairman of the committee that has been studying the bill wishes to know if there is a division between Democrats and Republicans on the issue or if there is some other basis for the split. To estimate the proportion of Republicans in favor of the bill, how large must a sample of representatives be to estimate the percentage within 3 percentage points with 90% certainty. Assume there are 538 representatives. Use the finite population correction factor and develop your own formula for computing the answer.
Provide complete and step by step solution for the question and show calculations and use formulas.