A random sample of 900 people was taken in Chicago to estimate the percentage of Chicago voters that favor an end to the U.S. embargo against Cuba. The results of this survey are given as a 95% confidence interval that turns out to be 53% +- 3.4%.

a. If we had calculated a 99% confidence interval for this poll, how would the margin of error have been different? explain.

b. A second poll using the same methods, is taken of 900 people in Columbus, Ohio, which has about one-fourth as many voters as Chicago. Will the margin of error for a 95% confidence interval in the Columbus poll be larger than 3.4%, smaller than 3.4%, or about 3.4%? explain

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