MAA Logged in as MATHEMATICAL ASSOCIATION OF AMERICA webwork / math170fall21 berryhill / chapter_6 / 15 Chapter 6: Problem 15 Previous Problem Problem List Next Problem (1 point) Suppose 37 percent of US college graduates earn $40,000 or more in their first year after graduating. A. What is the SMALLEST sample size, n, someone can use such that the distribution of the sample proportion, p, is normally distributed? NOTE: This means both of the conditions we check must be true. Please round your value of n up. Smallest n satisfying BOTH criteria = B. Now suppose the NC State Legislature conducts a survey of 80 randomly selected recent NC college graduates to find out about their yearly earnings. NOTE: For the following problems, you should use a standard deviation, op, rounded to THREE decimal places. B 1). What is the probability that the proportion of graduates from the NC sample, p, who make at least $40,000 is less than 0.29? Probability = B ii). What is the probability that the proportion of graduates from the NC sample, p, who make at least $40,000 is between 0.36 and 0.44? Probability = Note: You can earn partial credit on this problem. Preview My A Submit Answe