According to Gallup's poll on consumer behavior, 36% of Americans say they will consider only cars manufactured by an American company when purchasing a new car. (Data extracted from The Gallup Poll, www.gallup.com, March 31, 2010.) If you select a random sample of 200 Americans,
a. What is the probability that the sample will have between 30% and 40% who say they will consider only cars manufactured by an American company when purchasing a new car?
b. The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
c. The probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?