Suppose that p = .512 is the proportion of one-child families in which the child is a boy.
a. For a random sample of n = 50 one-child families, use the normal approximation to the binomial distribution to estimate the probability that there will be 20 or fewer families with one boy.
b. Repeat part (a) using the continuity correction described in the Technical Note on page 296. To do this, find the probability that the number of families with one boy will be 20.5 or less.
c. Use statistical software, Excel, or a graphing calculator to find the exact binomial probability that the number of families with one boy will be 20 or less.
d. Which of the results in parts (a), (b), and (c) is the most accurate value and which is the least accurate value for the probability that the number of families with one boy will be 20 or less?