Am I winning? Congressman Floyd commissions a sample survey of voters to learn what percentage favor him in his race for reelection. To avoid spending too much, he samples only 50 voters. Suppose that in fact only 43% of the voters support Floyd. The percentage favoring Floyd in a random sample of size 50 will vary from sample to sample according to a Normal distribution with mean 43% and standard deviation 7.0%. What percentage of all such samples will (wrongly) show that half or more of the voters favor Floyd?

The following optional exercises require use of Table B of Normal distribution percentiles.