(8) Sampling distribution for a population's proportion According to a national research center, 82% of Americans are satisfied with the way things are going in their lives. Therefore, the population proportion p = .820 (a) Suppose random sample size is n = 100. The p sampling distribution can be described by Shape: Normal/bell-shaped Center: mean = .820 Spread: std.dev. = ? (b) Draw the normal curve for this p sampling distribution. Make sure to label the tick marks for center and inflection points. (c) In a random sample of one hundred Americans find the Probability that the proportion of satisfied Americans is greater than .850 and make sure to also shade the correct region under the normal curve